A NOTE ON SPECIAL GEODESIC MAPPINGS ON RIEMANNIAN MANIFOLDS

SURENDRA KUMAR PAL, M. K. PANDEY R. N. SINGH

Abstract


In this paper, we have studied some properties of spe-cial geodesic mappings on Riemannian manifolds. We have shownthat if f : (Mn; g) ! ( Mn; g) is a special geodesic mapping ofa at Riemannian manifold (Mn; g) onto a Riemannian manifold( Mn; g), then Mn is of constant curvature.

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ISSN (Paper)2224-5804 ISSN (Online)2225-0522

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