A Discrete Representation of the Second Fundamental Form

We present a new method to obtain a combinatorial representation for the behaviour of a submanifold isometrically immersed in a Riemannian manifold based on the second fundamental form. We also present several results applying this new way of representation.

Bibliographic Details
Authors: Carriazo Rubio, Alfonso, Fernández Fernández, Luis Manuel, Ramírez de Arellano Marrero, Antonio
Format: article
Status:Published version
Publication Date:2022
Country:España
Institution:Universidad de Sevilla (US)
Repository:idUS. Depósito de Investigación de la Universidad de Sevilla
OAI Identifier:oai:idus.us.es:11441/144796
Online Access:https://hdl.handle.net/11441/144796
https://doi.org/10.3390/math10132279
Access Level:Open access
Keyword:geometry of submanifolds
combinatorial structure
second fundamental form
totally umbilical submanifold
minimal submanifold
Lagrangian submanifold
id ES_4f57cc55cb71a7ff48b40c1b3b38e02a
oai_identifier_str oai:idus.us.es:11441/144796
network_acronym_str ES
network_name_str España
repository_id_str
spelling A Discrete Representation of the Second Fundamental FormCarriazo Rubio, AlfonsoFernández Fernández, Luis ManuelRamírez de Arellano Marrero, Antoniogeometry of submanifoldscombinatorial structuresecond fundamental formtotally umbilical submanifoldminimal submanifoldLagrangian submanifoldWe present a new method to obtain a combinatorial representation for the behaviour of a submanifold isometrically immersed in a Riemannian manifold based on the second fundamental form. We also present several results applying this new way of representation.MDPIGeometría y Topología2022info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionapplication/pdfapplication/pdfhttps://hdl.handle.net/11441/144796https://doi.org/10.3390/math10132279reponame:idUS. Depósito de Investigación de la Universidad de Sevillainstname:Universidad de Sevilla (US)InglésMathematics, 10 (13), 2279-1.https://doi.org/10.3390/math10132279info:eu-repo/semantics/openAccessoai:idus.us.es:11441/1447962026-06-17T12:51:07Z
dc.title.none.fl_str_mv A Discrete Representation of the Second Fundamental Form
title A Discrete Representation of the Second Fundamental Form
spellingShingle A Discrete Representation of the Second Fundamental Form
Carriazo Rubio, Alfonso
geometry of submanifolds
combinatorial structure
second fundamental form
totally umbilical submanifold
minimal submanifold
Lagrangian submanifold
title_short A Discrete Representation of the Second Fundamental Form
title_full A Discrete Representation of the Second Fundamental Form
title_fullStr A Discrete Representation of the Second Fundamental Form
title_full_unstemmed A Discrete Representation of the Second Fundamental Form
title_sort A Discrete Representation of the Second Fundamental Form
dc.creator.none.fl_str_mv Carriazo Rubio, Alfonso
Fernández Fernández, Luis Manuel
Ramírez de Arellano Marrero, Antonio
author Carriazo Rubio, Alfonso
author_facet Carriazo Rubio, Alfonso
Fernández Fernández, Luis Manuel
Ramírez de Arellano Marrero, Antonio
author_role author
author2 Fernández Fernández, Luis Manuel
Ramírez de Arellano Marrero, Antonio
author2_role author
author
dc.contributor.none.fl_str_mv Geometría y Topología
dc.subject.none.fl_str_mv geometry of submanifolds
combinatorial structure
second fundamental form
totally umbilical submanifold
minimal submanifold
Lagrangian submanifold
topic geometry of submanifolds
combinatorial structure
second fundamental form
totally umbilical submanifold
minimal submanifold
Lagrangian submanifold
description We present a new method to obtain a combinatorial representation for the behaviour of a submanifold isometrically immersed in a Riemannian manifold based on the second fundamental form. We also present several results applying this new way of representation.
publishDate 2022
dc.date.none.fl_str_mv 2022
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://hdl.handle.net/11441/144796
https://doi.org/10.3390/math10132279
url https://hdl.handle.net/11441/144796
https://doi.org/10.3390/math10132279
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv Mathematics, 10 (13), 2279-1.
https://doi.org/10.3390/math10132279
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv MDPI
publisher.none.fl_str_mv MDPI
dc.source.none.fl_str_mv reponame:idUS. Depósito de Investigación de la Universidad de Sevilla
instname:Universidad de Sevilla (US)
instname_str Universidad de Sevilla (US)
reponame_str idUS. Depósito de Investigación de la Universidad de Sevilla
collection idUS. Depósito de Investigación de la Universidad de Sevilla
repository.name.fl_str_mv
repository.mail.fl_str_mv
_version_ 1869407814037798912
score 15.301603

Similar Items