Invariant submanifolds of Hermitian bicontact structures (or normal metric contact pairs)

Gianluca Bande

Mathematical Conferences Niš, Serbia, 13th Serbian Mathematical Congress

Gianluca Bande

Last modified: 2014-01-31

Abstract

We discuss some recent results concerning the invariant submanifolds of a normal metric contact pair (MCP) $M$ with decomposable structure tensor $\phi$ (or Hermitian bicontact structure). By invariance of the submanifolds we mean invariance either by $\phi$ or by the two natural complex structures associated to $M$. In particular we prove that their minimality is related to the two Reeb vector fields associated to the MCP.

Keywords

Contact Pair; Vaisman manifolds; invariant submanifold; minimal submanifold