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arXiv · 2205.14720

Totally geodesic submanifolds in products of rank one symmetric spaces

A. Rodríguez-Vázquez
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Abstract

In this article we classify totally geodesic submanifolds in arbitrary products of rank one symmetric spaces. Furthermore, we give infinitely many examples of irreducible totally geodesic submanifolds in Hermitian symmetric spaces with non-trivial constant K\"ahler angle, i.e. they are neither complex nor totally real.

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A. Rodríguez-Vázquez. 2022-05-29. Totally geodesic submanifolds in products of rank one symmetric spaces. https://doi.org/10.2422/2036-2145.202301_012 10.2422/2036-2145.202301_012 10.2422/2036-2145.202301_012 10.2422/2036-2145.202301_012 10.2422/2036-2145.202301_012

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