Conformal-twisted product semi-slant submanifolds in globally conformal Kaehler manifolds

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GERDAN AYDIN S., TAŞTAN H. M.

HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS, cilt.50, sa.4, ss.1028-1046, 2021 (SCI-Expanded) identifier identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 50 Sayı: 4
  • Basım Tarihi: 2021
  • Doi Numarası: 10.15672/hujms.801651
  • Dergi Adı: HACETTEPE JOURNAL OF MATHEMATICS AND STATISTICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, zbMATH, TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.1028-1046
  • İstanbul Üniversitesi Adresli: Evet

Özet

We introduce the notion of conformal-twisted product submanifolds of the form M-f(T) x M-b(theta) and M-f(theta) x M-b(T), where M-T is a holomorphic submanifold and M-theta is a proper slant submanifold of M in a globally conformal Kaehler manifold and f and b are conformal factor and twisting function, respectively. We give necessary and sufficient conditions for proper semi-slant submanifold to be a locally conformal-twisted product for such submanifolds of the form M-f(T) x M-b(theta) and M-f(theta) x M-b(T). We establish a general inequality for the squared norm of second fundamental form of these types of submanifolds.