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An improved first Chen inequality for Legendrian submanifolds in Sasakian space forms

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0 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

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0 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

Application of Bochner formula to generalized Sasakian space forms

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0 Published in 2018 at "Afrika Matematika"

DOI: 10.1007/s13370-018-0611-3

Abstract: In this article we apply Bochner formula and prove that the generalized Sasakian space form becomes either isometric to a sphere or a certain warped product under some geometric condtions. read more here.

Keywords: sasakian space; generalized sasakian; bochner formula;

Generalized Sasakian Space Forms Which Are Realized as Real Hypersurfaces in Complex Space Forms

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1 Published in 2020 at "Mathematics"

DOI: 10.3390/math8060873

Abstract: We prove a classification theorem of the generalized Sasakian space forms which are realized as real hypersurfaces in complex space forms. read more here.

Keywords: space; sasakian space; generalized sasakian; forms realized ... See more keywords

Geometric Classification of Warped Products Isometrically Immersed into Conformal Sasakian Space Froms

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1 Published in 2022 at "Symmetry"

DOI: 10.3390/sym14030608

Abstract: Warped products play important roles in differential geometry, general relativity, and symmetry science. In this paper, we study the warped product pointwise semi-slant submanifolds that are isometrically immersed into conformal Sasakian space form. We show… read more here.

Keywords: immersed conformal; warped products; sasakian space; conformal sasakian ... See more keywords