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arXiv · 1607.06918

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

Stanisław Ewert-Krzemieniewski
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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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Stanisław Ewert-Krzemieniewski. 2016-07-23. On a class of submanifolds in tangent bundle with g - natural metric - normal lift. https://arxiv.org/abs/1607.06918

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