Singular surfaces of revolution with prescribed unbounded mean curvature

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Author(s):	MARTINS LUCIANA F. ^[1] ; KENTARO SAJI ^[2] ; SAMUEL P. DOS SANTOS ^[3] ; KEISUKE TERAMOTO ^[4] Total Authors: 4
Affiliation:	^[1] Universidade Estadual Paulista “Júlio de Mesquita Filho”/UNESP. Departamento de Matemática - Brasil ^[2] Kobe University. Graduate School of Science. Department of Mathematics, - Japão ^[3] Universidade Estadual Paulista “Júlio de Mesquita Filho”/UNESP. Departamento de Matemática - Brasil ^[4] Kyushy University. Institute of Mathematics for Industry - Japão Total Affiliations: 4
Document type:	Journal article
Source:	Anais da Academia Brasileira de Ciências; v. 91, n. 3 2019-09-02.
Abstract
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. (AU)

FAPESP's process:	16/21226-5 - Differential geometry of the focal set
Grantee:	Samuel Paulino dos Santos
Support Opportunities:	Scholarships in Brazil - Master


FAPESP's process:	18/19610-7 - Geometry of singular surfaces in Euclidean space
Grantee:	Luciana de Fátima Martins
Support Opportunities:	Regular Research Grants


FAPESP's process:	18/17712-7 - Geometry of singular surfaces
Grantee:	Samuel Paulino dos Santos
Support Opportunities:	Scholarships in Brazil - Doctorate