On complex contact manifolds and their null submanifolds

TL;DR

This paper investigates the geometry of null submanifolds within indefinite complex contact manifolds, revealing that quaternion null submanifolds are always totally geodesic and exploring distribution structures.

Contribution

It introduces new geometric properties of null submanifolds in indefinite complex contact manifolds, including the total geodesicity of quaternion null submanifolds.

Findings

Quaternion null submanifolds are totally geodesic

Geometry of distributions on screen real submanifolds

Geometry of distributions on screen transversal anti-invariant submanifolds

Abstract

In the present paper, we study the geometry of certain classes of null submanifolds of indefinite complex contact manifolds. In particular, we show that quaternion null submanifolds are always totally geodesic. We also present the geometry of distributions on screen real and screen transversal anti-invariant submanifolds.