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

Erdem S.

HOUSTON JOURNAL OF MATHEMATICS, cilt.28, sa.1, ss.21-45, 2002 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 28 Sayı: 1
  • Basım Tarihi: 2002
  • Dergi Adı: HOUSTON JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.21-45
  • Anahtar Kelimeler: (para)contact, (1,2)-symplectic, harmonic, holomorphic
  • Orta Doğu Teknik Üniversitesi Adresli: Hayır

Özet

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.