Results 21 to 30 of about 18,606 (130)
Chen-Ricci inequality for biwarped product submanifolds in complex space forms
AIMS Mathematics, 2021 : The main objective of this paper is to achieve the Chen-Ricci inequality for biwarped product submanifolds isometrically immersed in a complex space form in the expressions of the squared norm of mean curvature vector and warping functions.The equality
Meraj Khan, Amira Ishan
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Improved Chen–Ricci inequality for curvature-like tensors and its applications [PDF]
Differential Geometry and Its Applications, 2011 We present Chen–Ricci inequality and improved Chen–Ricci inequality for curvature like tensors. Applying our improved Chen–Ricci inequality we study Lagrangian and Kaehlerian slant submanifolds of complex space forms, and C -totally real submanifolds of ...
Mukut Mani Tripathi
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AxiomsIn the present article, we study submanifolds tangent to the Reeb vector field in trans-Sasakian manifolds. We prove Chen’s first inequality and the Chen–Ricci inequality, respectively, for such submanifolds in trans-Sasakian manifolds which admit a semi-
Mohammed Mohammed +4 more
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Chen inequalities on warped product Legendrian submanifolds in Kenmotsu space forms and applications
Journal of Inequalities and ApplicationsIn the current work, we study the geometry and topology of warped product Legendrian submanifolds in Kenmotsu space forms F 2 n + 1 ( ϵ ) $\mathbb{F}^{2n+1}(\epsilon )$ and derive the first Chen inequality, including extrinsic invariants such as the mean
Fatemah Abdullah Alghamdi +2 more
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Chen-Ricci inequalities for Riemannian maps and their applications
Differential Geometry and its Applications, 2022 Riemannian maps between Riemannian manifolds, originally introduced by A.E. Fischer in [Contemp. Math. 132 (1992), 331-366], provide an excellent tool for comparing the geometric structures of the source and target manifolds. Isometric immersions and Riemannian submersions are particular examples of such maps.
Lee, Jae Won +3 more
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SymmetryThe geometry of submanifolds in Kähler manifolds is an important research topic. In the present paper, we study submanifolds in complex space forms admitting a semi-symmetric non-metric connection.
Andréea Olteanu +2 more
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Chen's Ricci inequalities and topological obstructions on null hypersurfaces of a Lorentzian manifold. [PDF]
J Inequal Appl, 2018 Given a null hypersurface of a Lorentzian manifold, we isometrically immerse a null hypersurface equipped with the Riemannian metric (induced on it by the rigging) into a Riemannian manifold suitably constructed on the Lorentzian manifold. We study the intrinsic and extrinsic geometry of such an isometric immersion and we link them to the null geometry
Ménédore K.
europepmc +5 more sources
On Euler characteristic and Hitchin-Thorpe inequality for four-dimensional compact Ricci solitons [PDF]
Proceedings of the American Mathematical Society, Series B, 2022 In this article, we investigate the geometry of 4 4 -dimensional compact gradient Ricci solitons. We prove that, under an upper bound condition on the range of the potential function, a 4 4 -dimensional compact gradient Ricci soliton ...
Xu Cheng, E. Ribeiro, Detang Zhou
semanticscholar +1 more source
Journal of Mathematics, 2021 In the present paper, we establish a Chen–Ricci inequality for a C-totally real warped product submanifold Mn of Sasakian space forms M2m+1ε. As Chen–Ricci inequality applications, we found the characterization of the base of the warped product Mn via ...
Fatemah Mofarreh +3 more
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