BIWARPED PRODUCT SUBMANIFOLDS WITH A SLANT BASE FACTOR

GERDAN AYDIN S., TAŞTAN H. M., Traore M., Ülker Y.

International Journal of Maps in Mathematics, cilt.5, sa.2, ss.154-181, 2022 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 5 Sayı: 2
  • Basım Tarihi: 2022
  • Dergi Adı: International Journal of Maps in Mathematics
  • Derginin Tarandığı İndeksler: Scopus
  • Sayfa Sayıları: ss.154-181
  • Anahtar Kelimeler: Anti-invariant distribution, Biwarped product submanifold, Invariant distribution, Locally product Riemannian manifold, Slant distribution
  • İstanbul Üniversitesi Adresli: Evet

Özet

We study biwarped product submanifolds with a slant base factor in locally product Riemannian manifolds. We prove an existence theorem for such submanifolds. Then we give a necessary and sufficient condition for such a manifold to be a warped prod-uct. We establish a general inequality for such submanifolds. The equality case is also considered. Moreover, we give an application of this inequality.