Geometry

   

Study of Transformations

Authors: Yeray Cachón Santana

This paper covers a first approach study of the angles and modulo of vectors in spaces of Hilbert considering a riemannian metric where, instead of taking the usual scalar product on space of Hilbert, this will be extended by the tensor of the geometry g. As far as I know, there is no a study covering space of Hilbert with riemannian metric. It will be shown how to get the angle and modulo on Hilbert spaces with a tensor metric, as well as vector product, symmetry and rotations. A section of variationals shows a system of differential equations for a riemennian metric.

Comments: 10 Pages.

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Submission history

[v1] 2018-07-17 17:10:18

Unique-IP document downloads: 27 times

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