Results 121 to 130 of about 161 (146)

On affine Riemannian maps

Archiv der Mathematik, 1998
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García-Río, Eduardo, Kupeli, Demir N.
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Semi-Riemannian Maps

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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Chen’s first inequality for Riemannian maps

Annales Polonici Mathematici, 2016
Summary: We obtain a basic Chen inequality for Riemannian maps between Riemannian manifolds.
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Semi-Riemannian Transversal Maps

1999
In 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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Notes on riemannian maps

2017
In this paper, we first find necessary and sufficient conditions for the total space of a Riemannian map to be an Einstein manifold and then we obtain various inequalities in terms of the scalar curvatures of the base space, fibers and images. In the equality cases of those inequalities, we obtain harmonicity and totally geodesicity of such maps.
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Conformal Riemannian Maps between Riemannian Manifolds, Their Harmonicity and Decomposition Theorems

Acta Applicandae Mathematicae, 2008
Let \((M_{1}^{m}, g_{1})\) and \((M_{2}^{n}, g_{2})\) be Riemannian manifolds and \(f: (M_{1}^{m}, g_{1})\longrightarrow (M_{2}^{m}, g_{2})\) a smooth map between them.
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Conformal Slant Riemannian Maps

2022
Conformal slant Riemannian maps from almost Hermitian manifolds to Riemannian manifolds are introduced. We give a non-trivial example of proper conformal slant Riemannian maps, obtain conditions for certain distributions to be integrable and find totally geodesicity conditions for leaves of distributions.
Yanan, Ş., Şahin, B.
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HARMONIC MAPPINGS OF RIEMANNIAN MANIFOLDS.

American Journal of Mathematics, 1964
Eells, James jun., Sampson, J. H.
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A probabilistic representation for heat flow of harmonic map on manifolds with time-dependent Riemannian metric

Statistics and Probability Letters, 2021
Wenjie Ye
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Error-based control systems on Riemannian state manifolds: Properties of the principal pushforward map associated to parallel transport

Mathematical Control and Related Fields, 2021
Simone Fiori, Fiori Simone
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