Integral formulas for a Riemannian manifold with several orthogonal\n complementary distributions

2020/08/05 by Vladimir Rovenski, Rovenski, Vladimir · 1 citation
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Morphological variations and asymmetry #Point processes and geometric inequalities

paper · pdf · doi:10.48550/arxiv.2008.01974

openalex publication_date 2020/08/05 · openalex created_date 2022/07/26 · openalex updated_date 2026/07/28

Abstract

In the paper we prove integral formulae for a Riemannian manifold endowed\nwith k>2 orthogonal complementary distributions, which generalize well-known\nformula for k=2 and give applications to splitting and isometric immersions\nof Riemannian manifolds, in particular, multiply warped products, and to\nhypersurfaces with k>2 distinct principal curvatures of constant\nmultiplicities.\n

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• The Einstein-Hilbert type action on almost k-product manifolds

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