Totally umbilical submanifolds of a Kaehlerian manifold
Totally umbilical submanifolds of a Kaehlerian manifold
Introduction.It is well known fact that an $(n-1)$ -dimensional totally um- bilical submanifold with non-zero mean curvature of an n-dimensional Eucli- dean space is isometric with a sphere.In the previous paper [3], making use of Obata's theorem, the author proved that an ($n-$ l)-dimensional complete, simply connected totally umbilical submanifold …