The weighted mixed curvature of a foliated manifold

DOI10.2298/FIL1904097RzbMath1499.53134arXiv1805.01673MaRDI QIDQ5080719

Vladimir Yu. Rovenskij

Publication date: 31 May 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1805.01673

zbMATH Keywords

Riemannian metricfoliationtotally geodesicsplittingintegral formulaalmost product manifoldweighted mixed curvature

Mathematics Subject Classification ID

Foliations (differential geometric aspects) (53C12) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Cites Work

• Unnamed Item
• Complete foliations of space forms by hypersurfaces
• Sectional curvature for Riemannian manifolds with density
• The mixed Yamabe problem for foliations
• Singularity theorems and the Lorentzian splitting theorem for the Bakry-Emery-Ricci tensor
• Liouville-type theorems for some classes of Riemannian almost product manifolds and for special mappings of Riemannian manifolds
• On the role of partial Ricci curvature in the geometry of submanifolds and foliations
• Integral formulae for foliations with singularities
• An integral formula for a Riemannian manifold with two orthogonal complementary distributions
• Einstein-Hilbert type action on spacetimes
• Totally geodesic foliations

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