Bi-slant submanifolds of para Hermitian manifolds
P. Alegre, A. Carriazo
TL;DR
This paper introduces bi-slant submanifolds in para Hermitian manifolds, unifying several existing submanifold types, and explores their fundamental properties with numerous examples.
Contribution
It defines bi-slant submanifolds in para Hermitian manifolds, extending the concepts of CR, semi-slant, and hemi-slant submanifolds, and investigates their basic characteristics.
Findings
Bi-slant submanifolds generalize CR, semi-slant, and hemi-slant submanifolds.
The paper establishes initial properties of bi-slant submanifolds.
A variety of examples illustrating bi-slant submanifolds are provided.
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.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Geometry and complex manifolds · Geometric and Algebraic Topology