Hypersurfaces of trans-s-manifolds


Pablo Alegre, Alfonso Carriazo, Luis M Fernández




We study hypersurfaces isometrically immersed in a trans-S-manifolds in order to find out under what conditions they could inherit the structure of the ambient manifold and so, to obtain new examples of such trans-S-manifolds. Mainly, we investigate this situation depending the behaviour of the second fundamental form of the immersion.