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

2016/07/23 by Ewert-Krzemieniewski, Stanisław
#53C07 #55C25 #Differential Geometry (math.DG) #FOS: Mathematics #Primary 53B20 #secondary 53B21

paper · doi:10.48550/arxiv.1607.06918

Abstract

An isometric immersion of a Riemannian manifold M into a Riemannian manifold N gives rise in a natural way to variety of immersions into the tangent bundle TN with a non-degenerate g- natural metric G. In the paper we introduce and study an immersion into TN defined by the immersion f:M\longrightarrow N itself and the normal bundle.

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