Induced structures on submanifolds in almost product Riemannian manifolds

2006/08/22 by Cristina E. Hreţcanu, Hreţcanu, Cristina-Elena · 2 citations
Mathematics · Physics and Astronomy · #53B20 #53B25 #53C15 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Numerical methods in inverse problems

paper · pdf · doi:10.48550/arxiv.math/0608533

openalex publication_date 2006/08/22 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We give some fundamental properties of the induced structures on submanifolds immersed in almost product or locally product Riemannian manifolds. We study the induced structure by the composition of two isometric immersions on submanifolds in an almost product Riemannian manifold. We give an effective construction for some induced structures on submanifolds of codimension 1 or 2 in Euclidean space.

Cited by

• Induced structures on product of spheres
• Finsler-Lagrange Geometries and Standard Theories in Physics: New Methods in Einstein and String Gravity

Related

• Induced structures on product of spheres
• (a, 1)f structures on product of spheres
• Isometric immersions into manifolds with metallic structures
• Natural Connections on Riemannian Product Manifolds
• Semi-invariant submersions from almost Hermitian manifolds