Results 101 to 110 of about 12,561 (233)

Some properties of harmonic mappings [PDF]

A harmonic map between Riemannian manifolds satisfies, in local coordinates, a second order semi-linear elliptic system of equations. This system of equations arise as the Euler-Lagrange equations of a natural Dirichlet or energy integral on maps between
Sealey, Howard C. J.
core  

Dubrovin's duality for F-manifolds with eventual identities [PDF]

, 2011
A vector field <i>E</i> on an <i>F</i>-manifold (M, o, e) is an eventual identity if it is invertible and the multiplication X*Y := X o Y o E^{-1} defines a new F-manifold structure on <i>M</i>.
Ian A.B. Strachan, David, Liana, Liana David, Strachan, Ian A.B.   +3 more
core   +1 more source

An Equivalence Theorem and A Sequential Algorithm for A-Optimal Experimental Designs on Manifolds

Axioms
Selecting input data points in the context of high-dimensional, nonlinear, and complex data in Riemannian space is challenging. While optimal experimental design theory is well-established in Euclidean space, its extension to Riemannian manifolds remains
Jingwen Zhang, Yaping Wang
doaj   +1 more source

Property of the curvatures of integrable poly-Norden manifolds and their submanifolds [PDF]

Journal of Mahani Mathematical Research
In the present paper, almost poly-Norden and locally almost poly-Norden manifolds are investigated. Ricci tensor and Riemannian curvature of integrable poly-Norden manifolds are studied. Geometric properties of   submanifolds of these types of  manifolds
Masoumeh Tofighi, Mohammad Bagher Kazemi Balgeshir   +1 more
doaj   +1 more source

The role of the curvature of a surface in the shape of the solutions to elliptic equations

Proceedings of the London Mathematical Society, Volume 133, Issue 1, July 2026.
Abstract We prove the uniqueness and nondegeneracy of the critical point of positive, semistable solutions of −Δu=f(u)$-\Delta u=f(u)$ with Dirichlet boundary conditions for a class of star‐shaped domains on the sphere and in the hyperbolic plane satisfying a geometric condition.
Francesca Gladiali, Massimo Grossi, Luigi Provenzano   +2 more
wiley   +1 more source

Totally real submanifolds of the nearly kaehler 6-sphere [PDF]

, 1997
Totally real 3-dimensiunal submanifolds of the nearly Kaehler 6-sphere are the main topic of this thesis. Having introduced preliminaries on the theory of complex and almost complex manifolds, the nearly Kaehler structure of S(^6) and the non existence ...
Travlopanos, Fotios
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Commutative curvature operators over four-dimensional generalized symmetric

Sahand Communications in Mathematical Analysis, 2014
Commutative properties of four-dimensional generalized symmetric pseudo-Riemannian manifolds were considered. Specially, in this paper, we studied Skew-Tsankov and Jacobi-Tsankov conditions in 4-dimensional pseudo-Riemannian generalized symmetric ...
Ali Haji-Badali, Masoud Dehghan, Fereshteh Nourmohammadi   +2 more
doaj  

The Morse Index of Sacks–Uhlenbeck α-Harmonic Maps for Riemannian Manifolds

Journal of Mathematics
In this paper, first we prove a nonexistence theorem for α-harmonic mappings between Riemannian manifolds. Second, the instability of nonconstant α-harmonic maps is studied with regard to the Ricci curvature criterion of their codomain. Then, we estimate
Amir Shahnavaz, Nader Kouhestani, Seyed Mehdi Kazemi Torbaghan   +2 more
doaj   +1 more source

Riemannian Maps [PDF]

, 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
Sahin, Bayram, Bayram Şahin
core   +1 more source

Riemannian-like structures on the set of probability measures: a comparison between Euclidean and discrete spaces [PDF]

, 2012
The purpose of this thesis is to present in detail two theories, not deductible from each other, but which obtain very similar results, giving a Riemannian-like structure to the set of probability measures.
DALUISO, ROBERTO
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