The Axiom of Hemi-Slant 3-Spheres in Almost Hermitian Geometry

Tastan H. M.

BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY, cilt.37, sa.2, ss.555-564, 2014 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 37 Sayı: 2
  • Basım Tarihi: 2014
  • Dergi Adı: BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Sayfa Sayıları: ss.555-564
  • İstanbul Üniversitesi Adresli: Evet

Özet

The axiom of hemi-slant 3-spheres is introduced. It is proved that if an almost Hermitian manifold M with dimension 2m >= 6 satisfies this axiom for some slant angle theta is an element of (0, pi/2), then M has pointwise constant type a if and only if M has pointwise constant anti-holomorphic sectional curvature a, and using this result some conditions for constancy of sectional curvature of a considered almost Hermitian manifold are given.