A Brief Review of Differential Geometry of Manifolds

Dr. Gyanvendra Pratap Singh , Sapana Gaur

Riemannian geometry, Levi-Civita connection, Differential geometry, Riemannian curvature, Parallel transport, General relativity.

Riemannian geometry is the study of manifolds endowed with Riemannian matrices which are roughly speaking, rules for measuring lengths of lengths of tangent vectors and angles between them. It is the most "geometric" branch of differentiable geometry: This paper gives an overview about the tools we use to understand how to adapt concepts such as the distance between two points, the angle between two crossing curves curvature of a plane curve, to a surface.

Published Paper   E-Certificate

"A Brief Review of Differential Geometry of Manifolds", IJSDR - International Journal of Scientific Development and Research (www.IJSDR.org), ISSN:2455-2631, Vol.9, Issue 5, page no.469 - 475, May-2024, Available :https://ijsdr.org/papers/IJSDR2405067.pdf

Volume 9 Issue 5, May-2024

Pages : 469 - 475

Paper Reg. ID: IJSDR_211288

Published Paper Id: IJSDR2405067

Downloads: 000347006

Research Area: Mathematics

Country: MAHARAJGANJ, UTTAR PRADESH, India

Published Paper PDF: https://ijsdr.org/papers/IJSDR2405067

Published Paper URL: https://ijsdr.org/viewpaperforall?paper=IJSDR2405067

DOI: https://doi.org/10.5281/zenodo.11213687

ISSN: 2455-2631 | IMPACT FACTOR: 9.15 Calculated By Google Scholar | ESTD YEAR: 2016

An International Scholarly Open Access Journal, Peer-Reviewed, Refereed Journal Impact Factor 9.15 Calculate by Google Scholar and Semantic Scholar | AI-Powered Research Tool, Multidisciplinary, Monthly, Multilanguage Journal Indexing in All Major Database & Metadata, Citation Generator

Publisher: IJSDR(IJ Publication) Janvi Wave

This work is licensed under a Creative Commons Attribution 4.0 International License and The Open Definition