On a class of submanifolds in tangent bundle with g- natural metric

2014/11/12 by Stanisław Ewert-Krzemieniewski, Ewert-Krzemieniewski, Stanisław
Mathematics · #53C07 #55C25 #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53B20 #math.DG #msc:53B20 #msc:53B21 #msc:53C07 #msc:55C25 #secondary 53B21

paper · pdf · doi:10.48550/arxiv.1411.3274

Key words: Riemannian manifold, tangent bundle, g - natural metric, submanifold, izometric immersion, non-degenerate metric

arxiv created 2014/11/12 · arxiv updated 2014/11/13

Abstract

An isometric immersion of a Riemannian manifold M into a Riemannian manifold N gives rise in a natural way to the immersion of the tangent bundle TM into the tangent bundle TN with a non-degenerate g- natural metric G.

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