On anti-Hermitian metric connections

Salimov A.

COMPTES RENDUS MATHEMATIQUE, cilt.352, sa.9, ss.731-735, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 352 Sayı: 9
  • Basım Tarihi: 2014
  • Doi Numarası: 10.1016/j.crma.2014.07.004
  • Dergi Adı: COMPTES RENDUS MATHEMATIQUE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.731-735
  • Atatürk Üniversitesi Adresli: Evet

Özet

It is a remarkable fact that anti-Kahler and its twin metrics share the same Levi-Civita connection. Such torsion-free metric connection also emphasizes the importance of anti-Hermitian metric connections with torsion in the study of anti-Hermitian geometry. With the objective of defining new types of anti-Hermitian metric connections, in the present paper we consider classes of anti-Hermitian manifolds associated with these connections. (C) 2014 Academie des sciences. Published by Elsevier Masson SAS. All rights reserved.