Geometric Inequalities for a Submanifold Equipped with Distributions

Geometric Inequalities for a Submanifold Equipped with Distributions

The article introduces invariants of a Riemannian manifold related to the mutual curvature of several pairwise orthogonal subspaces of a tangent bundle. In the case of one-dimensional subspaces, this curvature is equal to half the scalar curvature of the subspace spanned by them, and in the case of...

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Bibliographic Details
Main Author: Vladimir Rovenski
Format: Article
Language:English
Published: MDPI AG 2022-12-01
Series:Mathematics
Subjects:
Riemannian manifold
distribution
mutual curvature
isometric immersion
mean curvature
Online Access:https://www.mdpi.com/2227-7390/10/24/4741

Internet

https://www.mdpi.com/2227-7390/10/24/4741

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