Results 61 to 70 of about 1,787 (168)

A simplified Proof of the Hopf Conjecture

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica
The use of the barycentre map between two copies of ℝn , the first one with a metric without conjugate points, the second one with the canonical flat metric, allows to prove in a simplified way the fact that Riemannian tori without conjugate points are ...
Sabatini Luca
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Neutral surfaces in neutral four-spaces

Le Matematiche, 1990
Properties of the Gauss map of neutral surfaces are studied. Special attention is given to surfaces of parallel, or zero, mean curvature. Bilagrangian structures are defined and used in ways analogous to the use of complex structures in the Riemannian ...
Gary Jensen, Marco Rigoli
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Join multiple Riemannian manifold representation and multi‐kernel non‐redundancy for image clustering

CAAI Transactions on Intelligence Technology
Image clustering has received significant attention due to the growing importance of image recognition. Researchers have explored Riemannian manifold clustering, which is capable of capturing the non‐linear shapes found in real‐world datasets.
Mengyuan Zhang, Jinglei Liu
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Rigidity Characterizations of Conformal Solitons

Mathematics
We study the rigidity of conformal solitons, give a sufficient and necessary condition that guarantees that every closed conformal soliton is gradient conformal soliton, and prove that complete conformal solitons with a nonpositive Ricci curvature must ...
Junsheng Gong, Jiancheng Liu
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Exponentially Harmonic Maps into Spheres

Axioms, 2018
We study smooth exponentially harmonic maps from a compact, connected, orientable Riemannian manifold M into a sphere S m ⊂ R m + 1 .
Sorin Dragomir, Francesco Esposito
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GEOMETRY OF CLAIRAUT CONFORMAL RIEMANNIAN MAPS

Journal of the Australian Mathematical Society
AbstractThis article introduces the Clairaut conformal Riemannian map. This notion includes the previously studied notions of Clairaut conformal submersion, Clairaut Riemannian submersion, and the Clairaut Riemannian map as particular cases, and is well known in the classical theory of surfaces.
KIRAN MEENA, HEMANGI MADHUSUDAN SHAH, BAYRAM ŞAHIN   +2 more
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Degrees of maps and multiscale geometry

Forum of Mathematics, Pi
We study the degree of an L-Lipschitz map between Riemannian manifolds, proving new upper bounds and constructing new examples. For instance, if $X_k$ is the connected sum of k copies of $\mathbb CP^2$ for $k \ge 4$ , then we prove ...
Aleksandr Berdnikov, Larry Guth, Fedor Manin   +2 more
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Volume Comparison in the presence of a Gromov-Hausdorff ε−approximation II

Annals of the West University of Timisoara: Mathematics and Computer Science, 2018
Let (M, g) be any compact, connected, Riemannian manifold of dimension n. We use a transport of measures and the barycentre to construct a map from (M, g) onto a Hyperbolic manifold (ℍn/Λ, g0) (Λ is a torsionless subgroup of Isom(ℍn,g0)), in such a way ...
Sabatini Luca
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SEMI-INVARIANT RIEMANNIAN MAPS TO KÄHLER MANIFOLDS

International Journal of Geometric Methods in Modern Physics, 2011
This paper has two aims. First, we show that the usual notion of umbilical maps between Riemannian manifolds does not work for Riemannian maps. Then we introduce a new notion of umbilical Riemannian maps between Riemannian manifolds and give a method on how to construct examples of umbilical Riemannian maps.
openaire   +2 more sources

Harmonic-hyperbolic geometric flow

Electronic Journal of Differential Equations, 2017
In this article we study a coupled system for hyperbolic geometric flow on a closed manifold M, with a harmonic flow map from M to some closed target manifold N. Then we show that this flow has a unique solution for a short-time.
Shahroud Azami
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