关键词: Weyl manifold, semi-symmetric connection, Einstein manifold, isotropic manifold, sectional curvature

Abstract:

In this work, it is proved that every isotropic Weyl manifold with a semi-
symmetric connection is locally conformal to an Einstein manifold with a semi-symmetric connection.

Key words: Weyl manifold, semi-symmetric connection, Einstein manifold, isotropic manifold, sectional curvature