On Equitorsion Holomorphically Projective Mappings of Generalized Kählerian Spaces

Stankovic, Mića S.; Minčić, Svetislav M.; Velimirović, Ljubica S.

doi:10.1007/s10587-004-6419-3

Cited by 32 publications

(16 citation statements)

References 4 publications

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“…M.S. Stanković et al [20] have already considered similar generalization for classical (elliptic) Kähler manifolds. They assumed that the affinor F is covariantly constant with respect to both of connections 1 r and 2 r. We use weaker condition, by assuming that the affinor F is covariantly constant with respect to the symmetric part of non-symmetric linear connection 1 r. In what follows we consider only generalized parabolic Kähler manifolds for which !…”

Section: Special Canonical Almost Geodesic Mappings Of Generalized Pamentioning

confidence: 99%

Canonical almost geodesic mappings of type $\underset\theta\pi{}_2(0,F)$, ${\small\theta\in\{1,2\}}$ between generalized parabolic K\"ahler manifolds

Petrović¹

2018

MMN

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Section: Special Canonical Almost Geodesic Mappings Of Generalized Pamentioning

confidence: 99%

Canonical almost geodesic mappings of type $\underset\theta\pi{}_2(0,F)$, ${\small\theta\in\{1,2\}}$ between generalized parabolic K\"ahler manifolds

Petrović¹

2018

MMN

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“…A diffeomorphism f : M → M of generalized m-parabolic Kähler manifolds (M, , F) and (M, , F) is said to be an equitorsion HP mapping if it preserves holomorphically planar curves and the torsion tensor [18,20,26]. In this section we give necessary and sufficient conditions for the existence of an equitorsion HP mapping in terms of the symmetric part of the metric and the covariant derivatives of the first and second kind with respect to (w.r.t.)…”

Section: Equitorsion Hp Mappings Of Generalized M-parabolic Kähler Mamentioning

confidence: 99%

“…Minčć [10-14, 21, 26]. Further, generalized elliptic, hyperbolic and parabolic Kählerian spaces were developed in [14,[17][18][19][20]26]. Recently, generalized m-parabolic Kähler manifolds were defined in [18].…”

Section: Introductionmentioning

confidence: 99%

Equitorsion holomorphically projective mappings of generalized m-parabolic Kähler manifolds

Petrović

Peška²

2019

Filomat

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We investigate equitorsion holomorphically projective mappings of generalized m-parabolic Kähler manifolds and provide some necessary and sufficient conditions for the existence of these mappings in form of linear PDE-systems. Also, we find an invariant geometric object with respect to a holomorphically projective mapping of generalized m-parabolic Kähler manifolds which is analogous to the Thomas projective parameter. Definition 1.1. [18]A generalized Riemannian manifold (M, ) of even dimension n (n > 2) is said to be a generalized m-parabolic Kähler manifold if there exists a tensor field F on M of type (1, 1) such that rank(F) = m ≤ n 2 and the following conditions hold

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“…In [15], [21] we defined a generalized Kählerian space GK N as a generalized Ndimensional Riemannian space with a (non-symmetric) metric tensor g ij and an almost complex structure F i j such that…”

Section: Motivationmentioning

confidence: 99%

Equitorsion holomorphically projective mappings of generalized Kählerian space of the first kind

2010

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Starting from the definition of generalized Riemannian space (GR N ) [5], in which a non-symmetric basic tensor g ij is introduced, in the present paper a generalized Kählerian space GK 2 N of the second kind is defined, as a GR N with almost complex structure F h i , that is covariantly constant with respect to the second kind of covariant derivative (equation (2.3)).We observe hollomorphically projective mapping of the spaces GK 2 N and GK 2 N with invariant complex structure. Also, we consider equitorsion geodesic mapping between these two spaces, and for them we find invariant geometric objects.

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On Equitorsion Holomorphically Projective Mappings of Generalized Kählerian Spaces

Cited by 32 publications

References 4 publications

Canonical almost geodesic mappings of type $\underset\theta\pi{}_2(0,F)$, ${\small\theta\in\{1,2\}}$ between generalized parabolic K\"ahler manifolds

Canonical almost geodesic mappings of type $\underset\theta\pi{}_2(0,F)$, ${\small\theta\in\{1,2\}}$ between generalized parabolic K\"ahler manifolds

Equitorsion holomorphically projective mappings of generalized m-parabolic Kähler manifolds

Equitorsion holomorphically projective mappings of generalized Kählerian space of the first kind

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