C-totally real pseudo-parallel submanifolds of S-space forms


Let M(c) be a (2n + s)−dimensional S-space form of constant f−sectional curvature c and M be an n-dimensional C-totally real, minimal submanifold of M(c). We prove that if M is pseudo parallel and Ln − 1/4 (n(c + 3s) + c − s) ≥ 0, then M is totally geodesic.

DOI Code: 10.1285/i15900932v32n2p73

Keywords: S-manifolds; Sasakian manifolds; contact manifolds; pseudo-parallel submanifolds

Full Text: PDF

Creative Commons License
This work is licensed under a Creative Commons Attribuzione - Non commerciale - Non opere derivate 3.0 Italia License.