An improved first Chen inequality for Legendrian submanifolds in Sasakian space forms
Sign Up to like & getrecommendations! Published in 2017 at "Periodica Mathematica Hungarica"
DOI: 10.1007/s10998-016-0161-0
Abstract: Legendrian submanifolds in Sasakian space forms play an important role in contact geometry. Defever et al. (Boll Unione Mat Ital B 7(11):365–374, 1997) established the first Chen inequality for C-totally real submanifolds in Sasakian space… read more here.
Keywords: submanifolds sasakian; legendrian submanifolds; sasakian space; first chen ... See more keywords
r-Almost Newton–Ricci solitons on Legendrian submanifolds of Sasakian space forms
Sign Up to like & getrecommendations! Published in 2021 at "Periodica Mathematica Hungarica"
DOI: 10.1007/s10998-021-00394-x
Abstract: We establish the geometrical bearing on Legendrian submanifolds of Sasakian space forms in terms of r-almost Newton–Ricci solitons (r-anrs) with the potential function $$\psi : M^{n} \rightarrow \mathcal {R}$$ . Also, we discuss the Legendrian… read more here.
Keywords: submanifolds sasakian; legendrian submanifolds; ricci solitons; sasakian space ... See more keywords
On some geometric properties of CR-submanifolds of a Sasakian manifold
Sign Up to like & getrecommendations! Published in 2020 at "Journal of Geometry and Physics"
DOI: 10.1016/j.geomphys.2020.103639
Abstract: Abstract In this paper, we study the geometry of the contact CR-submanifolds of a Sasakian manifold. By searching the parallelism conditions of the tensors reduced in the submanifolds, some properties and results obtained from the… read more here.
Keywords: submanifolds sasakian; sasakian manifold; properties submanifolds; geometry ... See more keywords
Submanifolds of Sasakian Manifolds with Concurrent Vector Field
Sign Up to like & getrecommendations! Published in 2021 at "Tamkang Journal of Mathematics"
DOI: 10.5556/j.tkjm.52.2021.3233
Abstract: The submanifolds of Sasakian manifolds with a concurrent vector field have been studied. Applications of such submanifolds to Ricci solitons and Yamabe solitons has also been showed. read more here.
Keywords: manifolds concurrent; vector field; sasakian manifolds; submanifolds sasakian ... See more keywords