Singular surfaces of revolution with prescribed unbounded mean curvature

Martins, Luciana F.; Saji, Kentaro; Santos, Samuel P. dos; Teramoto, Keisuke

doi:10.1590/0001-3765201920170865

An. Acad. Bras. Ciênc.

2019

DOI: 10.1590/0001-3765201920170865

|View full text |Cite

Singular surfaces of revolution with prescribed unbounded mean curvature

Luciana F. Martins

Kentaro Saji

Samuel P. dos Santos

et al.

Abstract: We give an explicit formula for singular surfaces of revolution with prescribed unbounded mean curvature. Using this mean curvature, we give conditions for certain types of singularities of those surfaces. Periodicity of that surface is also discussed.

Help me understand this report

Search citation statements

Order By: Relevance

Paper Sections

Select...

Citation Types

Supporting

Mentioning

Contrasting

Year Published

2019

Publication Types

Select...

Article1

Relationship

Self Cite1

Independent0

Authors

Journals

Cited by 1 publication

References 11 publications

(10 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

Surfaces of Revolution of Frontals in the Euclidean Space

Takahashi

Teramoto

2019

Bull Braz Math Soc, New Series

Self Cite

View full text Add to dashboard Cite

For Legendre curves, we consider surfaces of revolution of frontals. The surface of revolution of a frontal can be considered as a framed base surface. We give the curvatures and basic invariants for surfaces of revolution by using the curvatures of Legendre curves. Moreover, we give properties of surfaces of revolution with singularities and cones.2010 Mathematics Subject classification: 57R45, 53A05, 58K05

show abstract

Surfaces of Revolution of Frontals in the Euclidean Space

Takahashi

Teramoto

2019

Bull Braz Math Soc, New Series

Self Cite

View full text Add to dashboard Cite

show abstract

scite is a Brooklyn-based organization that helps researchers better discover and understand research articles through Smart Citations–citations that display the context of the citation and describe whether the article provides supporting or contrasting evidence. scite is used by students and researchers from around the world and is funded in part by the National Science Foundation and the National Institute on Drug Abuse of the National Institutes of Health.

Contact Info

hi@scite.ai

334 Leonard St

Brooklyn, NY 11211

Blog Terms and Conditions API Terms Privacy Policy Contact Cookie Preferences Do Not Sell or Share My Personal Information

Made with 💙 for researchers

Part of the Research Solutions Family.

Singular surfaces of revolution with prescribed unbounded mean curvature

Abstract: We give an explicit formula for singular surfaces of revolution with prescribed unbounded mean curvature. Using this mean curvature, we give conditions for certain types of singularities of those surfaces. Periodicity of that surface is also discussed.

Cited by 1 publication

References 11 publications

Surfaces of Revolution of Frontals in the Euclidean Space

Surfaces of Revolution of Frontals in the Euclidean Space

Contact Info

Product

Resources

About