Prolongations of Hypersurfaces to Vector Bundles

Year 2017, Volume: 7, 73 - 82, 19.12.2017

Mustafa Özkan Erdoğan Esin

Abstract

This paper introduces and studies the concept of prolongations of a hypersurface to a vector bundle. We develop the theory of hypersurfaces using the metric tensor which is the complete lift of the metric tensor of the initial manifold.

Keywords

Prolongation, vector bundle, hypersurface

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