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arXiv · 2503.23917

A construction of curvature-adapted hypersurfaces in the product of symmetric spaces

Naoyuki Koike
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Abstract

In this paper, we give a construction of curvature-adapted hypersurfaces in the product $G_1/K_1\times G_2/K_2$ of (Riemannian) symmetric spaces $G_i/K_i$ ($i=1,2$). By this construction, we obtain many examples of curvature-adapted hypersurfaces in $G_1/K_1\times G_2/K_2$. Also, we calculate the eigenvalues of the shape operator and the normal Jacobi operator of the curvature-adapted hypersurfaces obtained by this construction.

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Naoyuki Koike. 2025-03-31. A construction of curvature-adapted hypersurfaces in the product of symmetric spaces. https://arxiv.org/abs/2503.23917

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