Some lightlike submanifolds of almost complex manifolds with Norden metric

TL;DR

This paper investigates specific lightlike submanifolds within almost complex manifolds equipped with Norden metrics, exploring their geometric properties and providing concrete examples.

Contribution

It introduces a study of submanifolds that are non-degenerate under one Norden metric and lightlike under another, revealing their geometric relations and constructing explicit examples.

Findings

Relations between induced geometric objects are established

Explicit examples of lightlike submanifolds are constructed

New insights into the geometry of Norden metric manifolds are provided

Abstract

In this paper we study submanifolds of an almost complex manifold with Norden metric which are non-degenerate with respect to the one Norden metric and lightlike with respect to the other Norden metric on the manifold. Relations between the induced geometric objects of some of these submanifolds are given. Examples of the considered submanifolds are constructed.