By S.K. Srivastava, Virendra Nath Pathak
GF- Structure Manifolds were defined and studied by Prof. Duggal, K.L, (1971), Prof. Mishra, R.S. (1974) and many other geometers. In this paper, I have defined real vector space with GF- Structure and B-Scalar product and certain results have been proved. It has been proved that B-Scalar product admits an Orthonormal J-Base .Besides this certain results have also been proved. GF-Structure, Generalised B-manifold has also been studied and certain results on GF-Structure, Generalised B-manifolds, have also been established. Some results on Connections have also been obtained.
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