Page 1

Displaying 1 – 12 of 12

Showing per page

Lightlike hypersurfaces of an indefinite Kaehler manifold of a quasi-constant curvature

Dae Ho Jin, Jae Won Lee (2019)

Communications in Mathematics

We study lightlike hypersurfaces M of an indefinite Kaehler manifold M ¯ of quasi-constant curvature subject to the condition that the characteristic vector field ζ of M ¯ is tangent to M . First, we provide a new result for such a lightlike hypersurface. Next, we investigate such a lightlike hypersurface M of M ¯ such that (1) the screen distribution S ( T M ) is totally umbilical or (2) M is screen conformal.

Locally symmetric immersions

José Carmelo González-Dávila, Lieven Vanhecke (1999)

Czechoslovak Mathematical Journal

We use reflections with respect to submanifolds and related geometric results to develop, inspired by the work of Ferus and other authors, in a unified way a local theory of extrinsic symmetric immersions and submanifolds in a general analytic Riemannian manifold and in locally symmetric spaces. In particular we treat the case of real and complex space forms and study additional relations with holomorphic and symplectic reflections when the ambient space is almost Hermitian. The global case is also...

Currently displaying 1 – 12 of 12

Page 1