ON A NEW CLASS OF REAMANNIAN METRICS ON THE COFRAME BUNDLE

In this paper we introduce a new class of Riemannian metrics on the coframe bundle over a Riemannian manifold ( , )Mg and investigate the Levi-Civita connection of these metrics.Also we calculate the particular values of components of Levi-Civita connection for different indices.

Publication Details

Published
2025-01-01
DOI
https://doi.org/10.30546/209501.101.2025.3.201.04
Primary Topic
Advanced Numerical Analysis Techniques
Type
article
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article

ON A NEW CLASS OF REAMANNIAN METRICS ON THE COFRAME BUNDLE

Advanced Numerical Analysis Techniques
article

ON A NEW CLASS OF REAMANNIAN METRICS ON THE COFRAME BUNDLE

article en

Abstract

In this paper we introduce a new class of Riemannian metrics on the coframe bundle over a Riemannian manifold ( , )Mg and investigate the Levi-Civita connection of these metrics.Also we calculate the particular values of components of Levi-Civita connection for different indices.

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Advanced Numerical Analysis Techniques
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ON A NEW CLASS OF REAMANNIAN METRICS ON THE COFRAME BUNDLE · (2025) | TGRS Research Map | TGRS