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Geometry of Invariant Almost Semi Kähler Submanifolds of Flag Manifolds

Published 17 Jun 2024 in math.DG | (2406.11990v1)

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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