Open Access Journal

ISSN : 2456-1304 (Online)

International Journal of Engineering Research in Electronics and Communication Engineering(IJERECE)

Monthly Journal for Electronics and Communication Engineering

Open Access Journal

International Journal of Science Engineering and Management (IJSEM)

Monthly Journal for Science Engineering and Management

ISSN : 2456-1304 (Online)

Tangent Frame Bundle (FM) and Differential Geometry

Author : Dr.Sudarshan Kumar 1

Date of Publication :26th October 2020

Abstract: In this paper we have to study the manifold with projective connection is called homogenous curvilinear co-ordinates we study the differential geometry of Frame bundle (FM) by using techinique of adapted frame of the infinitesimal variations of cross section of frame bundle FM with different connection .Also study the geometry of cross section of frame bundle FM of differentiable Manifold M. The purpose of the present papers is to improve the the fact about fibred space in differential geometry with concept of frame bundle FM and Tensor calculus.

Reference :

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    2. T. Okubo, (1965): On the differential geometry of frame bundle F (Xn), n = 2m, Menoirs defence. Acod 5, 1-17.
    3.  T. Okubo, (1966): On the differential geometry of frame bundles, Ann. Mat. Pure Appl. (4) 72, 29-44
    4.  K.P. Mok: Complete lifts of tensor fields and connection to Frame bundles,to appear in Proc.Lond Maths.soc.
    5. D.E.Blair(1971) : Almost contact manifold with killing structure tensors,Pacific.j Math,39(2),285-292
    6.  F.Brickell and R.S.Clark (1970) : Differentiable Manifold, an introduction,van Nostrand Reinhold, princeton,New york
    7.  D.carfi (2004): Tangent spaces an smanifolds,Differential geometry- Dynamical system,vol 6,1-13.

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