Results 11 to 20 of about 1,787 (168)

Spheres and Tori as Elliptic Linear Weingarten Surfaces

Mathematics, 2022
The linear Weingarten condition with ellipticity for the mean curvature and the extrinsic Gaussian curvature on a surface in the three-sphere can define a Riemannian metric which is called the elliptic linear Weingarten metric.
Dong-Soo Kim, Young Ho Kim, Jinhua Qian
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A Diffusion-Map-Based Algorithm for Gradient Computation on Manifolds and Applications

IEEE Access, 2023
We present a technique to estimate the Riemannian gradient of a given function defined on interior points of a Riemannian submanifold in the Euclidean space based on a sample of function evaluations at points in the submanifold. It applies to cases where
Alvaro Almeida Gomez, Antonio J. Silva Neto, Jorge P. Zubelli   +2 more
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Holomorphic Riemannian Maps [PDF]

Zurnal matematiceskoj fiziki, analiza, geometrii, 2014
6 ...
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Generic Riemannian maps [PDF]

Miskolc Mathematical Notes, 2017
As a generalization of semi-invariant Riemannian maps from almost Hermitian manifols, we first introduce generic Riemannian maps from almost Hermitian manifolds to Riemannian manifolds, give examples, obtain decomposition theorems and investigate harmonicity and totally geodesicity of such maps.
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Biwave Maps into Manifolds

International Journal of Mathematics and Mathematical Sciences, 2009
We generalize wave maps to biwave maps. We prove that the composition of a biwave map and a totally geodesic map is a biwave map. We give examples of biwave nonwave maps.
Yuan-Jen Chiang
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Positively Continuum-Wise Expansiveness for C¹ Differentiable Maps

Mathematics, 2019
We show that if a differentiable map f of a compact smooth Riemannian manifold M is C 1 robustly positive continuum-wise expansive, then f is expanding.
Manseob Lee
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Riemannian Convex Potential Maps

, 2021
Modeling distributions on Riemannian manifolds is a crucial component in understanding non-Euclidean data that arises, e.g., in physics and geology. The budding approaches in this space are limited by representational and computational tradeoffs. We propose and study a class of flows that uses convex potentials from Riemannian optimal transport.
Cohen, Samuel, Amos, Brandon, Lipman, Yaron   +2 more
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Spherical Ruled Surfaces in S³ Characterized by the Spherical Gauss Map

Mathematics, 2020
The Laplace operator on a Riemannian manifold plays an important role with eigenvalue problems and the spectral theory. Extending such an eigenvalue problem of smooth maps including the Gauss map, the notion of finite-type was introduced.
Young Ho Kim, Sun Mi Jung
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Geodesic Learning With Uniform Interpolation on Data Manifold

IEEE Access, 2022
Recently with the development of deep learning on data representation and generation, how to sampling on a data manifold becomes a crucial problem for research.
Cong Geng, Jia Wang, Li Chen, Zhiyong Gao   +3 more
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Quasiregular Mappings on Sub-Riemannian Manifolds [PDF]

The Journal of Geometric Analysis, 2015
33 ...
Fässler, Katrin, Lukyanenko, Anton, Peltonen, Kirsi   +2 more
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