Corner manifolds

TL;DR

This paper extends the study of corner structures (C_{12}-structures) to more general cases and constructs normal Trans-Sasakian structures from non-normal corner structures, providing new examples.

Contribution

It generalizes the theory of corner structures without restrictions and introduces a method to obtain normal Trans-Sasakian structures from non-normal ones.

Findings

Extended the theory of C_{12}-structures to the general case.

Constructed normal Trans-Sasakian structures from non-normal corner structures.

Provided examples illustrating the new constructions.

Abstract

The aim of this paper is two-fold. First, the study of $C_{12}$-structure (called by us corner structure) is extended to the general case without any condition, unlike our previous papers (see, \cite{BB, BG2, BG, BBB}). Second, starting from a $C_{12}$-structure which is not normal, we construct Trans-Sasakian structures which are normal. Class of examples are given.