Bi-Slant Submanifolds of Para Hermitian Manifolds

Abstract

In this paper, we introduce the notion of bi-slant submanifolds of a para Hermitian manifold. They naturally englobe CR, semi-slant, and hemi-slant submanifolds. We study their first properties and present a whole gallery of examples.

Keywords

• semi-Riemannian manifold
• para Hermitian manifold
• para Kaehler manifold
• para-complex
• totally real
• CR
• slant
• bi-slant
• semi-slant
• hemi-slant
• anti-slant submanifolds