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Mediterranean Journal of Mathematics, 2016
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Riemannian Warped Product Maps
Results in MathematicszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kiran Meena +2 more
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Archiv der Mathematik, 1998
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García-Río, Eduardo, Kupeli, Demir N.
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García-Río, Eduardo, Kupeli, Demir N.
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1999
In this chapter we introduce the notion of semi-Riemannian maps. Intuitively a semi-Riemannian map is a map between semi-Riemannian manifolds which is as “isometric as it can be.” Hence, as one expects, the existence of a semi-Riemannian map between semi-Riemannian manifolds enables us to compare some geometric properties of the semi-Riemannian ...
Eduardo García-Río, Demir N. Kupeli
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In this chapter we introduce the notion of semi-Riemannian maps. Intuitively a semi-Riemannian map is a map between semi-Riemannian manifolds which is as “isometric as it can be.” Hence, as one expects, the existence of a semi-Riemannian map between semi-Riemannian manifolds enables us to compare some geometric properties of the semi-Riemannian ...
Eduardo García-Río, Demir N. Kupeli
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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.
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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.
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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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$f$-biminimal maps between Riemannian manifolds
Czechoslovak Mathematical Journal, 2019An immersion between two Riemannian manifolds \(\varphi\colon(M^m,g)\to(N^n,\overline{g})\), or its image, is called biminimal, if it is a critical point of the bienergy functional \(E_2\) for variations normal to the image \(\varphi(M)\subset N\).
Zhao, Yan, Liu, Ximin
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Semi-Riemannian Transversal Maps
1999In this chapter, we generalize the notion of a semi-Riemannian map to the notion of a semi-Riemannian map with respect to a semi-Riemannian foliation on the target manifold. If this semi-Riemannian foliation is taken to be the points of the target manifold, then the definition of a semi-Riemannian map with respect to such a foliation reduces to the ...
Eduardo García-Río, Demir N. Kupeli
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Conformal Slant Riemannian Maps
2023The authors would like to thank the referee for useful comments and their helpful suggestions that have improved the quality of this paper. This paper was supported by the Scientific and Technological Research Council of Turkey (TUBITAK) with number 114F339.
Şahin, B., Yanan, Ş.
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Chen’s first inequality for Riemannian maps
Annales Polonici Mathematici, 2016Summary: We obtain a basic Chen inequality for Riemannian maps between Riemannian manifolds.
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