On the topology of CR-warped product submanifolds


ŞAHİN F.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.15, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 15 Konu: 2
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1142/s0219887818500329
  • Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS

Özet

We obtain a necessary condition for homology group to be zero on CR-warped product submanifold in Euclidean spaces in terms of second fundamental form of the submanifold and warping function. By using this condition, we show that such CR-warped product submanifold is a homotopy sphere.