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Singular surfaces of revolution with prescribed unbounded mean curvature
- Source :
- Anais da Academia Brasileira de Ciências v.91 n.3 2019, Anais da Academia Brasileira de Ciências, Academia Brasileira de Ciências (ABC), instacron:ABC, Scopus, Repositório Institucional da UNESP, Universidade Estadual Paulista (UNESP), instacron:UNESP, Anais da Academia Brasileira de Ciências, Volume: 91, Issue: 3, Article number: e20170865, Published: 02 SEP 2019, Anais da Academia Brasileira de Ciências, Vol 91, Iss 3
- Publication Year :
- 2017
-
Abstract
- We give an explicit formula for singular surfaces of revolution with prescribed unbounded mean curvature. Using it, we give conditions for singularities of that surfaces. Periodicity of that surface is also discussed.<br />9 pages 11 figures
- Subjects :
- Surface (mathematics)
Physics
Mathematics - Differential Geometry
Multidisciplinary
Mean curvature
cusps
010102 general mathematics
Mathematical analysis
Cuspidal edge
mean curvature
01 natural sciences
periodicity surface of revolution
Differential Geometry (math.DG)
0103 physical sciences
FOS: Mathematics
lcsh:Q
Gravitational singularity
010307 mathematical physics
Mathematics::Differential Geometry
0101 mathematics
Surface of revolution
57R45, 53A05
lcsh:Science
Subjects
Details
- Language :
- English
- Database :
- OpenAIRE
- Journal :
- Anais da Academia Brasileira de Ciências v.91 n.3 2019, Anais da Academia Brasileira de Ciências, Academia Brasileira de Ciências (ABC), instacron:ABC, Scopus, Repositório Institucional da UNESP, Universidade Estadual Paulista (UNESP), instacron:UNESP, Anais da Academia Brasileira de Ciências, Volume: 91, Issue: 3, Article number: e20170865, Published: 02 SEP 2019, Anais da Academia Brasileira de Ciências, Vol 91, Iss 3
- Accession number :
- edsair.doi.dedup.....beabc62d7c8e35790334771bbdd79ba1