Some submanifolds of almost contact manifolds with Norden metric

TL;DR

This paper investigates specific submanifolds within almost contact manifolds equipped with Norden metrics, focusing on those with codimension two and totally real normal spaces, and provides explicit examples including Lie subgroups.

Contribution

It introduces a study of codimension two submanifolds with totally real normal spaces in almost contact Norden manifolds and constructs explicit examples such as Lie subgroups.

Findings

Characterization of submanifolds with totally real normal spaces

Construction of explicit examples including Lie subgroups

Insights into the geometry of almost contact Norden manifolds

Abstract

In this paper we study submanifolds of almost contact manifolds with Norden metric of codimension two with totally real normal spaces. Examples of such submanifolds as a Lie subgroups are constructed.