Conformality on Semi-Riemannian Manifolds

摘要: We introduce here the notion of conformal semi-Riemannian map between manifolds aiming to unify and generalize two geometric concepts. The first one is studied by Garcia-Rio Kupeli (namely, manifolds). second defined Şahin Riemannian manifolds) as an extension introduced Fischer. support main this paper with several classes examples, e.g. semi-Riemanninan submersions (see O’Neill’s book Falcitelli, Ianus Pastore’s book) isometric immersions manifolds. As a tool, we use screen distributions (specific in geometry) Duggal Bejancu’s obtain some characterizations give version Fischer’s (resp. Şahin’s) results, using new here. study generalized eikonal equation at end relate harmonicity.