In this paper, we analyze Dirac fermions in Gödel-type background space-times with torsion. We also consider the Gödel-type spacetimes embedded in a topological defect background. We show that relativistic bound states solutions to the Dirac equation can be obtained by dealing with three cases of the Gödel-type solutions with torsion, where a cosmic string passes through these three cases of the space-time. We obtain the relativistic energy levels for all cases of the Gödel-type solutions with torsion with a cosmic string, where we show that there exists an analogy with the Landau levels for Dirac particles. We also show that the presence of torsion in the space-time yields new contributions to the relativistic spectrum of energies and that the presence of the topological defect modifies the degeneracy of the relativistic energy levels.

Bacterial leaf blight of eucalyptus is initially characterized by water soaked, angular, amphigenous and interveinal lesions, concentrated along the main vein, at the edges or scattered on the leaf blade. As the disease progresses, the lesions become brown to pale, and when young leaves are infected leaf cut areas at the edges or perforations at the center of the lesions may appear due to abortion of the necrotic area. Eventually, necrosis may be found on petiole and twigs. Leaf fall commonly occurs on highly susceptible genotypes due to the early senescence of diseased leaves. Precise diagnosis is accomplished by bacterial exudation from leaf sections placed in a water drop under light microscope (200 x). Twenty-five bacterial isolates from Amapá (2), Bahia (4), Minas Gerais (2), São Paulo (9), Pará (3), Mato Grosso do Sul (1), and Rio Grande do Sul (4) States, which induced hypersensitive reaction (HR) in non-host plants and were pathogenic to eucalyptus, when inoculated by inoculum injection, were identified by biochemical assays, using carbon sources (MicroLog TM BIOLOG) and sequence analysis (16S rDNA). Ten isolates were identified as Xanthomonas axonopodis, four as X. campestris, four as Pseudomonas syringae, two as P. putida, two as P. cichorii, one as Erwinia sp., and two were similar to bacterial genera of Rhizobiaceae. When spray inoculated on intact plants of eucalyptus, only X. axonopodis, P. cichorii and isolates of the Rhizobiaceae family induced typical symptoms of the disease and were considered pathogenic. In Brazil, X. axonopodis seems to be the most widespread species causing the bacterial leaf blight of Eucalyptus spp. Keywords: Eucalyptus, Xanthomonas, Pseudomonas, Erwinia, Rhizobiaceae. RESUMO Etiologia da mancha foliar bacteriana em eucalipto no BrasilA mancha foliar bacteriana do eucalipto caracteriza-se inicialmente por lesões encharcadas do tipo anasarca, internervurais, encharcadas do tipo anasarca, internervurais, angulares e anfígenas, concentradas ao longo da nervura principal, nas margens da folha ou distribuídas aleatoriamente sobre o limbo. Com o progresso da doença, as lesões adquirem aspecto ressecado e coloração marrom a palha, podendo conter orifícios no centro da lesão ou áreas recortadas do limbo em conseqüência do aborto da área necrosada, principalmente em folhas mais jovens. Eventualmente pode haver necrose em pecíolo e ramos. A doença culmina com a desfolha devido à senescência precoce das folhas infectadas. O diagnóstico inequívoco é realizado por meio de exsudação de pus bacteriano a partir de fragmento de folha infectada, sob microscópio óptico de luz (200 x). Vinte e cinco isolados oriundos dos estados do Amapá (2), Bahia (4), Minas Gerais (2), São Paulo (9), Pará (3), Mato Grosso do Sul (1) e Rio Grande do Sul (4) indutores de reação de hipersensibilidade em plantas não-hospedeiras e, patogênicos ao eucalipto em testes de injeção de suspensão bacteriana no mesófilo foliar, foram identificados por meio de testes bioquímicos, utilização de fontes de carbono e...

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Leaf streak, caused by Xanthomonas translucens pv. undulosa, is the major bacterial disease of wheat in Brazil and other countries worldwide. This study aimed to evaluate the effect of silicon (Si) on disease development and the biochemical mechanisms possibly involved in resistance potentialized by this element. Plants of cv. BR-18, susceptible to leaf streak, were grown in plastic pots containing Si-deficient soil amended with either calcium silicate (+Si) or calcium carbonate ()Si). The content of Si increased (P £ 0.05) by 96.5% for the +Si when compared with )Si treatment. There was no difference (P ‡ 0.05) between Si treatments for calcium content on leaf tissue, so variations in Si accounted for differences in the level of resistance to leaf streak. There was no difference (P ‡ 0.05) between Si treatments for incubation period, latent period, necrotic leaf area, and severity estimated by the software quant. However, chlorotic leaf area was reduced (P £ 0.05) by 50.2% for the +Si when compared with )Si treatment. There was no difference (P ‡ 0.05) between Si treatments for the bacteria population on leaf tissue; however, the values seemed to be somewhat lower in the +Si treatment from 4 to 8 days after inoculation (d.a.i.) on leaves from plants supplied with Si. There was no difference (P ‡ 0.05) between Si treatments for electrolyte leakage. The concentration of total soluble phenolics and lignin-thioglycolic acid (LTGA) derivatives did not show any apparent signs of increase during the course of infection and seemed to be slightly higher on plants not supplied with Si at the most advanced stages of bacterial infection. Chitinase activity was high at the most advanced stages of bacterial infection on leaves from +Si treatment and probably affected bacterial growth on leaf tissue. Peroxidase activity following bacterial infection was not increased by Si, but can be linked with the highest concentration of LTGA derivatives at 12 d.a.i. of plants supplied with Si. Polyphenoloxidase activity did not affect wheat resistance to leaf streak regarding of the Si treatments. The results clearly suggest that supplying Si to wheat plants can increase resistance to leaf streak possibly through an increase in tissue lignification and the participation of chitinases and peroxidases.

In this paper we study Weyl fermions in a family of Gödel-type geometries in Einstein general relativity. We also consider that these solutions are embedded in a topological defect background.We solve the Weyl equation and find the energy eigenvalues and eigenspinors for all three cases of Gödel-type geometries where a topological defect is passing through them. We show that the presence of a topological in these geometries contributes to modification of the spectrum of energy.The energy zero modes for all three cases of the Gödel geometries are discussed.

Tomato bacterial spot on tomato may be caused by four species of Xanthomonas and among them X. gardneri (Xg) is the most destructive one, especially in areas irrigated using a center pivot system in Minas Gerais state and the midwest region of Brazil. Due to the ineffectiveness of chemical control and the lack of cultivars with high levels of genetic resistance, this study investigated the potential of three antagonists (Streptomyces setonii (UFV618), Bacillus cereus (UFV592) and Serratia marcescens (UFV252)), and the hormone jasmonic acid (JA) as a positive control, to reduce bacterial spot symptoms and to potentiate defense enzymes in the leaves of tomato plants infected by Xg. Tomato seeds were microbiolized with each antagonist, and the soil was drenched with these bacteria. The plants were sprayed with JA 48 h before Xg inoculation. The final average severity on the tomato plants was reduced by 29.44, 59.26 and 61.33% in the UFV592, UFV618 and JA treatments, respectively. The UFV618 antagonist was as effective as JA in reducing bacterial spot symptoms on tomatoes, which can be explained by the greater activities of defense enzymes that are commonly involved in host resistance against bacterial diseases. These results suggest that JA and the UFV618 antagonist can be used in the integrated management of bacterial spot on tomatoes.

Fusarium wilt, caused by Fusarium oxysporum f.sp. lycopersici (Fol), is one of the most important diseases that affect tomato yield worldwide. This study investigated the potential of three antagonists, Streptomyces setonii (UFV 618), Bacillus cereus (UFV 592) and Serratia marcescens (UFV 252), and as positive control the hormone jasmonic acid (JA), to reduce Fusarium wilt symptoms and to potentiate the defense enzymes in the stem tissues of tomato plants infected by Fol. The seeds were microbiolized with each antagonist, and the soil was also drenched with them. The plants were sprayed with JA 48 h before Fol inoculation. The area under the Fusarium wilt index progress curve was reduced by 54, 48, 47 and 45% for the UFV 618, JA, UFV 592 and UFV 252 treatments, respectively. The three antagonists, and even the JA spray, efficiently reduced the Fusarium wilt symptoms on the tomato plant stems, which can be explained by the lower malondialdehyde concentration (an indication of oxidative damage to lipids in the plasma membranes) and the greater activities of peroxidases, polyphenoloxidases, glucanases, chitinases, phenylalanine ammonia-lyases and lipoxygenases, which are commonly involved in host resistance against fungal diseases. These results present a novel alternative that can be used in the integrated management of Fusarium wilt on tomatoes.Key words: Fusarium oxysporum f.sp. lycopersici, Solanum lycopersicum, biological control, host defense mechanisms, induced resistance, vascular pathogen.Rizobactérias induzem resistência contra a murcha-de-fusário do tomateiro pelo aumento das atividades de enzimas de defesa Resumo A murcha-de-fusário, causada por Fusarium oxysporum f.sp. lycopersici (Fol), é uma das mais importantes doenças que afetam a produção de tomate no mundo. Este estudo investigou o potencial de três antagonistas, Streptomyces setonii (UFV 618), Bacillus cereus (UFV 592) e Serratia marcescens (UFV 252), e como controle positivo foi utilizado o hormônio ácido jasmônico (AJ), na redução dos sintomas da murcha-de-fusário e potencialização das enzimas de defesa nos tecidos do caule de plantas de tomateiro infectadas por Fol. Sementes foram microbiolizadas com cada antagonista e o solo também foi encharcado com eles. As plantas foram pulverizadas com AJ 48 horas antes da inoculação Fol. A área abaixo da curva do progresso do índice da murcha-de-fusário (AACPIMF) foi reduzida em 54%, 48%, 47% e 45% para os tratamentos UFV 618, AJ, UFV 592 e UFV 252, respectivamente. Os três antagonistas, e até mesmo a pulverização AJ, foram eficientes na redução dos sintomas da murchade-fusário em caules de tomateiro, o que pode ser explicado pela menor concentração de aldeído malônico (uma indicação de danos oxidativos em lípideos nas membranas plasmáticas) e maior atividade de peroxidases, polifenoloxidases, glucanases, quitinases, fenilalanina amônia liases e lipoxigenases, comumente envolvidas na resistência do hospedeiro a doenças fúngicas. Esses resultados apresentam uma nova alternativa que pode ser usada...

Acibenzolar-S-methyl (ASM) is a plant activator that triggers systemic acquired resistance that is labeled for use in Brazil for managing tomato bacterial spot. The aim of this study was to define the optimum relationship between interval and number of applications of ASM for the most efficacious control of bacterial spot on processing tomato. Four intervals between applications (4, 7, 10, and 14 days) and four application frequencies (4, 6, 8, and 10 applications) were evaluated in five trials performed between 2010 and 2011 in Brasília, Distrito Federal, and in Morrinhos, in the state of Goiás. Copper hydroxide (CH) was applied after ASM applications to complete 13 applications per growing season. Two check treatments were added: standard CH weekly applications and untreated. The following variables were evaluated: severity of bacterial spot, yield, percentage of ripe and rotten fruit, soluble solids content, and the benefit/cost ratio. Disease severity varied between treatments in three trials and yield varied in two trials. A greater number of applications resulted in a reduction of bacterial spot, and the ideal interval between applications was between 8 to 10 days. However, there was a reduction in yield with 10 ASM applications. The temporal effect of ASM applications on bacterial spot severity was evaluated under greenhouse conditions. Reduction in disease severity was observed up to 6 days following ASM application. Additionally, the weekly treatment of seven applications of ASM followed by six applications of CH was compared with a standard program of CH under commercial production conditions in Itaberaí, Goiás, where bacterial spot occurred naturally. The program with ASM and CH resulted in significantly less foliar disease severity than the standard program, which did not result in yield gains. In addition, no differences were detected between the two programs for soluble solids content, industrial yield, plant height, and percentage of ripe and rotten fruit.