A remark on the mixed scalar curvature of a manifold with two orthogonal totally umbilical distributions

DOI10.1515/ADVGEOM-2017-0043zbMath1421.53041OpenAlexW2883738373MaRDI QIDQ2322396

I. I. Tsyganok, Sergey E. Stepanov

Publication date: 4 September 2019

Published in: Advances in Geometry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom-2017-0043

zbMATH Keywords

complete Riemannian manifoldtwo complementary orthogonal distributions

Mathematics Subject Classification ID

Global Riemannian geometry, including pinching (53C20)

Related Items (1)

On symmetric Killing tensors and Codazzi tensors of ranks \(p \geq 2\)

Cites Work

• The geometry of closed conformal vector fields on Riemannian spaces
• New integral formulae for two complementary orthogonal distributions on Riemannian manifolds
• Semi-Riemannian manifolds with a doubly warped structure
• Complete foliations of space forms by hypersurfaces
• Some geometric consequences of the Weitzenböck formula on Riemannian almost-product manifolds; weak-harmonic distributions
• Twisted products in pseudo-Riemannian geometry
• Doubly warped products.
• Vanishing and finiteness results in geometric analysis. A generalization of the Bochner technique
• Prescribing the Mixed Scalar Curvature of a Foliation
• A curvature condition for a twisted product to be a warped product
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