Integral formulas for a foliated sub-Riemannian manifold

DOI10.1007/s40879-023-00593-5OpenAlexW4319878094MaRDI QIDQ2688845

Vladimir Yu. Rovenskij

Publication date: 6 March 2023

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2208.13461

zbMATH Keywords

foliationshape operatorNewton transformationsub-Riemannian manifoldmixed scalar curvature

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Sub-Riemannian geometry (53C17)

Cites Work

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• New integral formulae for two complementary orthogonal distributions on Riemannian manifolds
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• An integral formula for Riemannian \(G\)-structures with applications to almost Hermitian and almost contact structures
• Average Gaussian curvature of leaves of foliations
• An integral formula for a Riemannian manifold with two orthogonal complementary distributions
• HOLOMORPHIC FOLIATIONS, HARMONIC MORPHISMS AND THE WALCZAK FORMULA
• Extrinsic Geometry of Foliations
• Riemannian geometry and geometric analysis

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