Geometry of Invariant Almost Semi Kähler Submanifolds of Flag Manifolds

2024/06/17 by Neiton Pereira da Silva, da Silva, Neiton Pereira
Mathematics · #53C55 #53D15 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.2406.11990

openalex publication_date 2024/06/17 · openalex created_date 2024/06/20 · openalex updated_date 2026/07/28

Abstract

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.

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