The Journal of the Indian Mathematical Society

R. N. Sen ¹

Affiliations
1 Calcutta University, IN

Abstract

This paper is an outcome of a previous paper [1] in which we have obtained the following results : In an n-dimensional space let there be given a second order symmetric tensor g_ij which is non-singular and an n-tuple of vectors λ_glt (P = 1•••> n), which are independent.

Full Text

     

R. N. Sen ¹

Affiliations
1 Department of Pure Mathematics, Calcutta University, IN

Abstract

Let a_ij be any given non-singular symmetric tensor. Then if g_ij is any other non-singular symmetric tensor, we can construct, with the help of a_ij, another non-singular symmetric tensor Ãg_ij defined by

g_ij = a_is a_jt g^st; so g_ij = a_is a_jt g^st, (1.1)

Full Text

     

R. N. Sen ¹

Affiliations
1 Department of Pure Mathematics, Calcutta University, IN

Abstract

In two previous papers [1,2] we considered certain Riemannian spaces which were compatible with pairs of teleparallelisms satisfying certain equations. In the present paper we have shown that these spaces can be derived from a certain general class.

Full Text

     

R. N. Sen ¹

Affiliations
1 Department of Pure Mathematics, Calcutta University, IN

Abstract

This paper arises out of a previous paper [3] in which a type of 3-dimensional metric spaces satisfying certain equations connecting a pair of teleparallelisms was obtained.

Full Text

     

R. N. Sen ¹

Affiliations
1 Department of Pure Mathematics, Calcutta University, IN

Abstract

Attempts have been made in this paper first to obtain conditions for which a given teleparallelism in a metric space may generate others and secondly to apply these conditions in a 3-dimensional space of a certain kind in order to obtain types of spaces which are compatible with pairs of teleparallelisms so generated.

Full Text