Results 11 to 20 of about 161 (146)

On h-Quasi-Hemi-Slant Riemannian Maps

Axioms, 2022
In the present article, we indroduce and study h-quasi-hemi-slant (in short, h-qhs) Riemannian maps and almost h-qhs Riemannian maps from almost quaternionic Hermitian manifolds to Riemannian manifolds. We investigate some fundamental results mainly on h-
Mohd Bilal, Sushil Kumar, Rajendra Prasad, Abdul Haseeb, Sumeet Kumar   +4 more
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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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Clairaut Riemannian maps

Turkish Journal of Mathematics, 2023
In this paper, first we define Clairaut Riemannian map between Riemannian manifolds by using a geodesic curve on the base space and find necessary and sufficient conditions for a Riemannian map to be Clairaut with a nontrivial example. We also obtain necessary and sufficient condition for a Clairaut Riemannian map to be harmonic.
Meena, Kiran, Yadav, Akhilesh
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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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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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Holomorphic Riemannian Maps [PDF]

Zurnal matematiceskoj fiziki, analiza, geometrii, 2014
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Hyperelastic curves along Riemannian maps

Turkish Journal of Mathematics, 2022
The main purpose of this paper is to examine what kind of information the smooth Riemannian map defined between two Riemannian manifolds provides about the character of the Riemannian map when a horizontal hyperelastic curve on the total manifold is carried to a hyperelastic curve on the base manifold. For the solution of the mentioned problem, firstly,
TURHAN, Tunahan, ŞAHİN, BAYRAM, Ozkan Tukel, Gozde   +2 more
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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
doaj   +1 more source

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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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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