Results 111 to 120 of about 161 (146)
Reverse Ricci-Curvature Bounds for Riemannian Submersions and Riemannian Maps
In this paper, we establish, for the first time, upper bounds of the Ricci--curvature for Riemannian submersions along the vertical distribution as well as along both the vertical and horizontal distributions. We derive their general forms and provide precise geometric characterisations of the equality cases.
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Generalized Chen's inequalities for Riemannian submersions and Riemannian maps with Applications
In this paper, we establish generalized B.-Y. Chen inequalities for Riemannian submersions and Riemannian maps between Riemannian manifolds by employing the generalized $δ$-invariants introduced by Chen. We derive optimal inequalities involving the generalized $δ$-invariants associated with the vertical and horizontal distributions together with ...
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Mediterranean Journal of Mathematics, 2016
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Bayram Şahin, Şahin Bayram
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Bayram Şahin, Şahin Bayram
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Riemannian Warped Product Maps
Results in MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Hemangi Shāh +2 more
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2017
In this chapter, we study Riemannian maps between Riemannian manifolds. In section 1, we define Riemannian maps and give the main properties of such maps. In section 2, we obtain Gauss-Weingarten-like formulas and then we obtain Gauss, Codazzi, and Ricci equations along Riemannian maps.
Bayram Şahin
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In this chapter, we study Riemannian maps between Riemannian manifolds. In section 1, we define Riemannian maps and give the main properties of such maps. In section 2, we obtain Gauss-Weingarten-like formulas and then we obtain Gauss, Codazzi, and Ricci equations along Riemannian maps.
Bayram Şahin
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Harmonicity of Slant Conformal Riemannian Maps
Mathematical Notes, 2023zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kaushal, R., Kumar, R., Rani, R.
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Manifolds of Maps in Riemannian Foliations
Geometriae Dedicata, 2000Let \((M',F')\), \((M,F)\) be foliated manifolds, and \(C_F^\infty (M',M)\) the space of smooth maps which send leaves into leaves. We consider LF-spaces, i.e. inductive limits of Fréchet spaces. The aim of this paper is to show that \(C_F^\infty (M',M)\) admits a structure of an infinite-dimensional manifold modeled on LF-spaces.
Macias-Virgós, E. +1 more
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On a mapping in a riemannian space
Bulletin de la Classe des sciences, 1967Srivastava Ramesh Chandra. On a mapping in a riemannian space. In: Bulletin de la Classe des sciences, tome 53, 1967. pp. 217-225.
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