Riemannian Warped Product Submersions

Küpeli Erken İ., MURATHAN C.

Results in Mathematics, cilt.76, sa.1, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 76 Sayı: 1
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1007/s00025-020-01310-4
  • Dergi Adı: Results in Mathematics
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, MathSciNet, zbMATH
  • Anahtar Kelimeler: Riemannian immersion, Riemannian submersion, warped product, Primary 53B20, 53C17, 53C42, 53C55
  • Bursa Uludağ Üniversitesi Adresli: Evet

Özet

© 2020, Springer Nature Switzerland AG.In this paper, we introduce Riemannian warped product submersions and construct examples and give fundamental geometric properties of such submersions. On the other hand, a necessary and sufficient condition for a Riemannian warped product submersion to be totally geodesic, totally umbilic and minimal is given.