Results 11 to 20 of about 208,435 (298)
Β. Y. CHEN INEQUALITIES FOR SLANT SUBMANIFOLDS IN COMPLEX SPACE FORMS
Demonstratio Mathematica, 1999 The reviewer introduces in [Japan. J. Math. 26, No. 1, 105-127 (2000)] a string of new Riemannian invariants, denoted by \(\delta(n_1,\ldots,n_k)\), and establishes sharp inequalities between the invariants and the squared mean curvature for an arbitrary submanifold in a real space form.
Ion Mihai
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Chen-Ricci Inequalities with a Quarter Symmetric Connection in Generalized Space Forms
Advances in Mathematical Physics, 2021 In this article, we obtain improved Chen-Ricci inequalities for submanifolds of generalized space forms with quarter-symmetric metric connection, with the help of which we completely characterized the Lagrangian submanifold in generalized complex space ...
Ali H. Al-Khaldi +3 more
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Chen-Ricci inequality for biwarped product submanifolds in complex space forms
, 2021 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.
Amira A. Ishan, Meraj Ali Khan
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Chen’s Ricci inequalities and topological obstructions on null hypersurfaces of a Lorentzian manifold [PDF]
Journal of Inequalities and Applications, 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.
Karimumuryango Ménédore
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Improved Chen-Ricci inequality for curvature-like tensors and its\n 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 Sasakian space forms.
Mukut Mani Tripathi
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Recent Developments on the First Chen Inequality in Differential Geometry [PDF]
Mathematics, 2023 One of the most fundamental interests in submanifold theory is to establish simple relationships between the main extrinsic invariants and the main intrinsic invariants of submanifolds and find their applications. In this respect, the first author established, in 1993, a basic inequality involving the first δ-invariant, δ(2), and the squared mean ...
Bang‐Yen Chen, Gabriel‐Eduard Vîlcu
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Chen-like inequalities on lightlike hypersurfaces of a Lorentzian manifold [PDF]
Journal of Inequalities and Applications, 2013 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Mehmet Gülbahar +2 more
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Mathematics, 2022 The geometry of Hessian manifolds is a fruitful branch of physics, statistics, Kaehlerian and affine differential geometry. The study of inequalities for statistical submanifolds in Hessian manifolds of constant Hessian curvature was truly initiated in ...
Aliya Naaz Siddiqui +2 more
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A New Algebraic Inequality and Some Applications in Submanifold Theory
Mathematics, 2021 We give a simple proof of the Chen inequality involving the Chen invariant δ(k) of submanifolds in Riemannian space forms. We derive Chen’s first inequality and the Chen–Ricci inequality.
Ion Mihai, Radu-Ioan Mihai
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Hybrid Method for Accretive Variational Inequalities Involving Pseudocontraction
Eurasian Journal of Science and Engineering, 2023 We use strongly pseudocontractions to regularise a class of accretive variational inequalities in more general settings, the solutions are sought in the set of fixed points of another pseudocontraction.
Abdulnasir Isah
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