Results 101 to 110 of about 550,301 (203)

Spectrally distinguishing symmetric spaces II

Extracta Mathematicae
The action of the subgroup G2 of SO(7) (resp. Spin(7) of SO(8)) on the Grassmannian space M = SO(7)/(SO(5)×SO(2)) (resp. M = SO(8)/(SO(5)×SO(3)) ) is still transitive. We prove that the spectrum (i.e.
Emilio A. Lauret, Juan S. Rodrı́guez
doaj   +1 more source

Mixed Boundary Value Problem on Hypersurfaces

International Journal of Differential Equations, 2014
The purpose of the present paper is to investigate the mixed Dirichlet-Neumann boundary value problems for the anisotropic Laplace-Beltrami equation divC(A∇Cφ)=f on a smooth hypersurface C with the boundary Γ=∂C in Rn.
R. DuDuchava, M. Tsaava, T. Tsutsunava
doaj   +1 more source

Fundamental Solution of Laplace's Equation in Hyperspherical Geometry

Symmetry, Integrability and Geometry: Methods and Applications, 2011
Due to the isotropy of d-dimensional hyperspherical space, one expects there to exist a spherically symmetric fundamental solution for its corresponding Laplace-Beltrami operator.
Howard S. Cohl
doaj   +1 more source

On the Laplace-Beltrami operator on the oscillator group

The oscillator groups play a distinguished role among all solvable simply connected Lie groups, since a result by A. Medina shows that they are, except for direct extensions with Euclidean groups, the only non- commutative groups in this class which do admit a bi-invariant Lorentzian metric. If G is an oscillator group, then there exists a basis \(T,X_
Müller, D., Ricci, F.
openaire   +1 more source

Well-posed problems for the Laplace-Beltrami operator on a punctured two-dimensional sphere

, 2023
An arbitrary point is removed from a three-dimensional Euclidean space on a two-dimensional sphere. The new well-posed solvable boundary value problems for the corresponding Laplace-Beltrami operator on the resulting punctured sphere are presented.
Dosmagulova, Karlygash, Kanguzhin, Baltabek   +1 more
core  

Remarks on equivariant asymptotics for complexified toric eigenfunction

Pracì Mìžnarodnogo Geometričnogo Centru
The eigenfunctions of the Laplace-Beltrami operator on a real-analytic Riemannian manifold admit a symultaneous holomorphic extension to a sufficiently small Grauert tube.
Simone Gallivanone, Roberto Paoletti
doaj   +1 more source

Existence, symmetry, and regularity of ground states of a nonlinear Choquard equation in the hyperbolic space

Advances in Nonlinear Analysis
In this study, we explore the positive solutions of a nonlinear Choquard equation involving the Green kernel of the fractional operator (−ΔBN)−α⁄2{\left(-{\Delta }_{{{\mathbb{B}}}^{N}})}^{-\alpha /2} in the hyperbolic space, where ΔBN{\Delta }_{{{\mathbb{
Gupta Diksha, Sreenadh Konijeti
doaj   +1 more source

On Approximation of the Laplace-Beltrami Operator and the Willmore Energy of Surfaces

, 2011
Discrete Laplace Beltrami operators on polyhedral surfaces play an important role for various applications in geometry processing and related areas like physical simulation or computer graphics. While discretizations of the weak Laplace Beltrami operator
Hildebrandt, Klaus, Polthier, Konrad
core   +1 more source

Finite element approximation of the Laplace-Beltrami operator on a surface with boundary. [PDF]

Numer Math (Heidelb), 2019
Burman E, Hansbo P, Larson MG, Larsson K, Massing A.   +4 more
europepmc   +1 more source

A novel cortical thickness estimation method based on volumetric Laplace-Beltrami operator and heat kernel. [PDF]

Med Image Anal, 2015
Wang G, Zhang X, Su Q, Shi J, Caselli RJ, Wang Y, Alzheimer’s Disease Neuroimaging Initiative.   +6 more
europepmc   +1 more source