On isometric immersions of almost \(k\)-product manifolds

DOI10.1016/j.geomphys.2023.104764OpenAlexW4318305518MaRDI QIDQ2693316

Vladimir Yu. Rovenskij, Paweł G. Walczak

Publication date: 20 March 2023

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2210.03000

zbMATH Keywords

distributionmean curvature vectorisometric immersionmixed scalar curvaturealmost product manifoldmultiply twisted product

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Foliations (differential geometric aspects) (53C12) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Complete foliations of space forms by hypersurfaces
• The imbedding problem for Riemannian manifolds
• Twisted products in pseudo-Riemannian geometry
• Decomposition of twisted and warped product nets
• Isometric immersions of warped products
• On the role of partial Ricci curvature in the geometry of submanifolds and foliations
• An integral formula for a Riemannian manifold with two orthogonal complementary distributions
• Differential Geometry of Warped Product Manifolds and Submanifolds
• Extrinsic Geometry of Foliations

This page was built for publication: On isometric immersions of almost \(k\)-product manifolds