Results 91 to 100 of about 621,294 (188)

Hyperbolicity in non‐metric cubical small‐cancellation

Bulletin of the London Mathematical Society, Volume 56, Issue 6, Page 2036-2052, June 2024.
Abstract Given a non‐positively curved cube complex X$X$, we prove that the quotient of π1X$\pi _1X$ defined by a cubical presentation ⟨X∣Y1,⋯,Ys⟩$\langle X\mid Y_1,\dots, Y_s\rangle$ satisfying sufficient non‐metric cubical small‐cancellation conditions is hyperbolic provided that π1X$\pi _1X$ is hyperbolic.
Macarena Arenas, Kasia Jankiewicz, Daniel T. Wise   +2 more
wiley   +1 more source

Sub-Riemannian Geometry of Curves and Surfaces in Roto-Translation Group Associated with Canonical Connection

Mathematics
The aim of this paper is to obtain the sub-Riemannian properties of the roto-translation group RT. At the same time, we compute the sub-Riemannian limits of Gaussian curvature associated with two kinds of canonical connections for a C2-smooth surface in ...
Han Zhang, Haiming Liu
doaj   +1 more source

Holographic aspects of a higher curvature massive gravity

European Physical Journal C: Particles and Fields, 2019
We study the holographic dual of a massive gravity with Gauss–Bonnet and cubic quasi-topological higher curvature terms. Firstly, we find the energy–momentum two point function of the 4-dimensional boundary theory where the massive term breaks the ...
Shahrokh Parvizi, Mehdi Sadeghi
doaj   +1 more source

Uniqueness of Ricci flows from non‐atomic Radon measures on Riemann surfaces

Proceedings of the London Mathematical Society, Volume 128, Issue 6, June 2024.
Abstract In previous work (Topping and Yin, https://arxiv.org/abs/2107.14686), we established the existence of a Ricci flow starting with a Riemann surface coupled with a non‐atomic Radon measure as a conformal factor. In this paper, we prove uniqueness, settling Conjecture 1.3 of Topping and Yin (https://arxiv.org/abs/2107.14686).
Peter M. Topping, Hao Yin
wiley   +1 more source

New anisotropic Gauss–Bonnet black holes in five dimensions at the critical point

European Physical Journal C: Particles and Fields
We obtain new vacuum static black hole solutions with anisotropic horizons in Einstein–Gauss–Bonnet gravity with a negative cosmological constant in five dimensions.
Yuxuan Peng
doaj   +1 more source

Riesz energy, L2$L^2$ discrepancy, and optimal transport of determinantal point processes on the sphere and the flat torus

Mathematika, Volume 70, Issue 2, April 2024.
Abstract Determinantal point processes exhibit an inherent repulsive behavior, thus providing examples of very evenly distributed point sets on manifolds. In this paper, we study the so‐called harmonic ensemble, defined in terms of Laplace eigenfunctions on the sphere Sd$\mathbb {S}^d$ and the flat torus Td$\mathbb {T}^d$, and the so‐called spherical ...
Bence Borda, Peter Grabner, Ryan W. Matzke   +2 more
wiley   +1 more source

Shadow Images of a Rotating Dyonic Black Hole with a Global Monopole Surrounded by Perfect Fluid

Universe, 2020
In this paper, we revisit the rotating global monopole metric and extend the metric to a rotating dyonic global monopole in the presence of a perfect fluid. We then show that the surface topology at the event horizon, related to the metric computed, is a
Sumarna Haroon, Kimet Jusufi, Mubasher Jamil   +2 more
doaj   +1 more source

Weak Deflection Angle by Asymptotically Flat Black Holes in Horndeski Theory Using Gauss-Bonnet Theorem

, 2020
The principal objective of this project is to investigate the gravitational lensing by asymptotically flat black holes in the framework of Horndeski theory in weak field limits.
W. Javed, J. Abbas, Yashmitha Kumaran, A. Övgün   +3 more
semanticscholar   +1 more source

Unification of Gravity and Internal Interactions

Fortschritte der Physik, Volume 72, Issue 1, January 2024.
Abstract In the gauge theoretic approach of gravity, general relativity is described by gauging the symmetry of the tangent manifold in four dimensions. Usually the dimension of the tangent space is considered to be equal to the dimension of the curved manifold. However, the tangent group of a manifold of dimension d is not necessarily SOd$SO_d$.
Spyros Konitopoulos, Danai Roumelioti, George Zoupanos   +2 more
wiley   +1 more source

Heat Kernel Embeddings, Differential Geometry and Graph Structure

Axioms, 2015
In this paper, we investigate the heat kernel embedding as a route to graph representation. The heat kernel of the graph encapsulates information concerning the distribution of path lengths and, hence, node affinities on the graph; and is found by ...
Hewayda ElGhawalby, Edwin R. Hancock
doaj   +1 more source