Some conditions on the Weingarten endomorphism of real hypersurfaces in quaternionic space forms
Some conditions on the Weingarten endomorphism of real hypersurfaces in quaternionic space forms
We classify the real hypersurfaces in a non-flat quaternionic space form satisfying several conditions on their Weingarten endomorphism. Firstly, we study on the maximal quaternionic distribution of the real hypersurface a relationship between a certain metric tensor and the restriction of the metric of the ambient manifold. Secondly, we consider …