Geometry of Invariant Almost Semi Kähler Submanifolds of Flag Manifolds

Fuente: arXiv
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Auteur principal: da Silva, Neiton Pereira
Format: Preprint
Publié: 2024
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_version_ 1866913393960550400
author da Silva, Neiton Pereira
author_facet da Silva, Neiton Pereira
contents In this paper we discuss the geometry of homogeneous spaces witch are almost Hermitian submanifolds of flag manifolds. We prove that such spaces are necessarily minimal submanifolds and in the case where these submanifolds are also flag manifolds, they are totally geodesic.
format Preprint
id arxiv_https___arxiv_org_abs_2406_11990
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Geometry of Invariant Almost Semi Kähler Submanifolds of Flag Manifolds
da Silva, Neiton Pereira
Differential Geometry
53C55, 53D15
In this paper we discuss the geometry of homogeneous spaces witch are almost Hermitian submanifolds of flag manifolds. We prove that such spaces are necessarily minimal submanifolds and in the case where these submanifolds are also flag manifolds, they are totally geodesic.
title Geometry of Invariant Almost Semi Kähler Submanifolds of Flag Manifolds
topic Differential Geometry
53C55, 53D15
url https://arxiv.org/abs/2406.11990