On almost (para)contact (hyperbolic) metric manifolds and harmonicity of (phi phi ')-holomorphic maps between them

Erdem S.

HOUSTON JOURNAL OF MATHEMATICS, vol.28, no.1, pp.21-45, 2002 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 28 Issue: 1
  • Publication Date: 2002
  • Journal Name: HOUSTON JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.21-45
  • Keywords: (para)contact, (1,2)-symplectic, harmonic, holomorphic
  • Middle East Technical University Affiliated: No

Abstract

A Theorem is given which states about the harmonicity of 'holomorphic' maps between manifolds of mixture of even and odd dimensions (namely almost indefinite (para)-Hermitian and almost (para)- contact (hyperbolic) metric manifolds) in the most general form which gives new results and also covers all the known ones. On the way, some new classes of almost (para)contact (hyperbolic) metric manifolds are introduced and some examples of these kinds are provided.