On the index of stability of (r, s)-linear Weingarten Clifford tori
Descripción del Articulo
For entire numbers r and s satisfying 0 ≤ r ≤ s ≤ n − 2, we showed that the index of (r, s)-stability of a (r, s)-linear Weingarten Clifford torus immersed into the (n + 1)-dimensional unit Euclidean sphere, that has a linear combination of their higher order mean curvatures Hr+1 and Hs+1 being null...
| Autor: | |
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| Formato: | artículo |
| Fecha de Publicación: | 2023 |
| Institución: | Universidad Nacional de Trujillo |
| Repositorio: | Revistas - Universidad Nacional de Trujillo |
| Lenguaje: | inglés |
| OAI Identifier: | oai:ojs.revistas.unitru.edu.pe:article/5009 |
| Enlace del recurso: | https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5009 |
| Nivel de acceso: | acceso abierto |
| Materia: | Unit Euclidean sphere higher order mean curvatures (r, s)-linear Weingarten Clifford torus Jacobi operator index of (r, s)-stability |
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On the index of stability of (r, s)-linear Weingarten Clifford toriLázaro Velásquez, Marco AntonioUnit Euclidean spherehigher order mean curvatures(r, s)-linear Weingarten Clifford torusJacobi operatorindex of (r, s)-stabilityFor entire numbers r and s satisfying 0 ≤ r ≤ s ≤ n − 2, we showed that the index of (r, s)-stability of a (r, s)-linear Weingarten Clifford torus immersed into the (n + 1)-dimensional unit Euclidean sphere, that has a linear combination of their higher order mean curvatures Hr+1 and Hs+1 being null, is exactly equal to n + 3 provided that a geometric condition involving Hr+2 and Hs+2 is satisfied.National University of Trujillo - Academic Department of Mathematics2023-07-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfhttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/5009Selecciones Matemáticas; Vol. 10 No. 01 (2023): January - July; 102 - 113Selecciones Matemáticas; Vol. 10 Núm. 01 (2023): Enero - Julio; 102 - 113Selecciones Matemáticas; v. 10 n. 01 (2023): Janeiro - Julho; 102 - 1132411-1783reponame:Revistas - Universidad Nacional de Trujilloinstname:Universidad Nacional de Trujilloinstacron:UNITRUenghttps://revistas.unitru.edu.pe/index.php/SSMM/article/view/5009/5551Derechos de autor 2023 Selecciones Matemáticashttps://creativecommons.org/licenses/by/4.0info:eu-repo/semantics/openAccessoai:ojs.revistas.unitru.edu.pe:article/50092023-07-26T18:47:00Z |
| dc.title.none.fl_str_mv |
On the index of stability of (r, s)-linear Weingarten Clifford tori |
| title |
On the index of stability of (r, s)-linear Weingarten Clifford tori |
| spellingShingle |
On the index of stability of (r, s)-linear Weingarten Clifford tori Lázaro Velásquez, Marco Antonio Unit Euclidean sphere higher order mean curvatures (r, s)-linear Weingarten Clifford torus Jacobi operator index of (r, s)-stability |
| title_short |
On the index of stability of (r, s)-linear Weingarten Clifford tori |
| title_full |
On the index of stability of (r, s)-linear Weingarten Clifford tori |
| title_fullStr |
On the index of stability of (r, s)-linear Weingarten Clifford tori |
| title_full_unstemmed |
On the index of stability of (r, s)-linear Weingarten Clifford tori |
| title_sort |
On the index of stability of (r, s)-linear Weingarten Clifford tori |
| dc.creator.none.fl_str_mv |
Lázaro Velásquez, Marco Antonio |
| author |
Lázaro Velásquez, Marco Antonio |
| author_facet |
Lázaro Velásquez, Marco Antonio |
| author_role |
author |
| dc.subject.none.fl_str_mv |
Unit Euclidean sphere higher order mean curvatures (r, s)-linear Weingarten Clifford torus Jacobi operator index of (r, s)-stability |
| topic |
Unit Euclidean sphere higher order mean curvatures (r, s)-linear Weingarten Clifford torus Jacobi operator index of (r, s)-stability |
| description |
For entire numbers r and s satisfying 0 ≤ r ≤ s ≤ n − 2, we showed that the index of (r, s)-stability of a (r, s)-linear Weingarten Clifford torus immersed into the (n + 1)-dimensional unit Euclidean sphere, that has a linear combination of their higher order mean curvatures Hr+1 and Hs+1 being null, is exactly equal to n + 3 provided that a geometric condition involving Hr+2 and Hs+2 is satisfied. |
| publishDate |
2023 |
| dc.date.none.fl_str_mv |
2023-07-26 |
| dc.type.none.fl_str_mv |
info:eu-repo/semantics/article info:eu-repo/semantics/publishedVersion |
| format |
article |
| status_str |
publishedVersion |
| dc.identifier.none.fl_str_mv |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5009 |
| url |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5009 |
| dc.language.none.fl_str_mv |
eng |
| language |
eng |
| dc.relation.none.fl_str_mv |
https://revistas.unitru.edu.pe/index.php/SSMM/article/view/5009/5551 |
| dc.rights.none.fl_str_mv |
Derechos de autor 2023 Selecciones Matemáticas https://creativecommons.org/licenses/by/4.0 info:eu-repo/semantics/openAccess |
| rights_invalid_str_mv |
Derechos de autor 2023 Selecciones Matemáticas https://creativecommons.org/licenses/by/4.0 |
| eu_rights_str_mv |
openAccess |
| dc.format.none.fl_str_mv |
application/pdf |
| dc.publisher.none.fl_str_mv |
National University of Trujillo - Academic Department of Mathematics |
| publisher.none.fl_str_mv |
National University of Trujillo - Academic Department of Mathematics |
| dc.source.none.fl_str_mv |
Selecciones Matemáticas; Vol. 10 No. 01 (2023): January - July; 102 - 113 Selecciones Matemáticas; Vol. 10 Núm. 01 (2023): Enero - Julio; 102 - 113 Selecciones Matemáticas; v. 10 n. 01 (2023): Janeiro - Julho; 102 - 113 2411-1783 reponame:Revistas - Universidad Nacional de Trujillo instname:Universidad Nacional de Trujillo instacron:UNITRU |
| instname_str |
Universidad Nacional de Trujillo |
| instacron_str |
UNITRU |
| institution |
UNITRU |
| reponame_str |
Revistas - Universidad Nacional de Trujillo |
| collection |
Revistas - Universidad Nacional de Trujillo |
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1847155316889747456 |
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13.42111 |
Nota importante:
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
La información contenida en este registro es de entera responsabilidad de la institución que gestiona el repositorio institucional donde esta contenido este documento o set de datos. El CONCYTEC no se hace responsable por los contenidos (publicaciones y/o datos) accesibles a través del Repositorio Nacional Digital de Ciencia, Tecnología e Innovación de Acceso Abierto (ALICIA).
