Mostrar el registro sencillo del ítem
dc.contributor.author
Berndt, Jürgen
dc.contributor.author
Olmos, Carlos Enrique

dc.date.available
2018-09-05T20:28:32Z
dc.date.issued
2016-10
dc.identifier.citation
Berndt, Jürgen; Olmos, Carlos Enrique; Maximal totally geodesic submanifolds and index of symmetric spaces; International Press Boston; Journal of Differential Geometry; 104; 2; 10-2016; 187-217
dc.identifier.issn
0022-040X
dc.identifier.uri
http://hdl.handle.net/11336/58456
dc.description.abstract
Let M be an irreducible Riemannian symmetric space. The index i(M) of M is the minimal codimension of a totally geodesic submanifold of M. In [1] we proved that i(M) is bounded from below by the rank rk(M) of M, that is, rk(M) ≤ i(M). In this paper we classify all irreducible Riemannian symmetric spaces M for which the equality holds, that is, rk(M) = i(M). In this context we also obtain an explicit classification of all non-semisimple maximal totally geodesic submanifolds in irreducible Riemannian symmetric spaces of noncompact type and show that they are closely related to irreducible symmetric R-spaces. We also determine the index of some symmetric spaces and classify the irreducible Riemannian symmetric spaces of noncompact type with i(M) ∈ {4, 5, 6}.
dc.format
application/pdf
dc.language.iso
eng
dc.publisher
International Press Boston

dc.rights
info:eu-repo/semantics/openAccess
dc.rights.uri
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.subject
Totally Geodesic Submanifolds
dc.subject
Symmetric Spaces
dc.subject.classification
Matemática Pura

dc.subject.classification
Matemáticas

dc.subject.classification
CIENCIAS NATURALES Y EXACTAS

dc.title
Maximal totally geodesic submanifolds and index of symmetric spaces
dc.type
info:eu-repo/semantics/article
dc.type
info:ar-repo/semantics/artículo
dc.type
info:eu-repo/semantics/publishedVersion
dc.date.updated
2018-09-05T16:24:16Z
dc.journal.volume
104
dc.journal.number
2
dc.journal.pagination
187-217
dc.journal.pais
Estados Unidos

dc.description.fil
Fil: Berndt, Jürgen. King's College London; Reino Unido
dc.description.fil
Fil: Olmos, Carlos Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
dc.journal.title
Journal of Differential Geometry

dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://projecteuclid.org/euclid.jdg/1476367055
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/url/https://arxiv.org/abs/1405.0598
dc.relation.alternativeid
info:eu-repo/semantics/altIdentifier/doi/http://dx.doi.org/10.4310/jdg/1476367055
Archivos asociados