Results 101 to 110 of about 621,294 (188)

A small cusped hyperbolic 4‐manifold

Bulletin of the London Mathematical Society, Volume 56, Issue 1, Page 176-187, January 2024.
Abstract By gluing some copies of a polytope of Kerckhoff and Storm's, we build the smallest known orientable hyperbolic 4‐manifold that is not commensurable with the ideal 24‐cell or the ideal rectified simplex. It is cusped and arithmetic, and has twice the minimal volume.
Stefano Riolo
wiley   +1 more source

The Effects of Finite Distance on the Gravitational Deflection Angle of Light

Universe, 2019
In order to clarify the effects of the finite distance from a lens object to a light source and a receiver, the gravitational deflection of light has been recently reexamined by using the Gauss−Bonnet (GB) theorem in differential geometry (Ishihara
Toshiaki Ono, Hideki Asada
doaj   +1 more source

Discrete curvature and the Gauss-Bonnet theorem

, 2010
For matrix analogues of embedded surfaces we define discrete curvatures and Euler characteristics, and a non-commutative Gauss--Bonnet theorem is shown to follow.
Arnlind, Joakim, Hoppe, Jens, Huisken, Gerhard   +2 more
core  

A new mass for asymptotically flat manifolds

, 2013
In this paper we introduce a mass for asymptotically flat manifolds by using the Gauss-Bonnet curvature. We first prove that the mass is well-defined and is a geometric invariant, if the Gauss-Bonnet curvature is integrable and the decay order $\tau ...
Ge, Yuxin, Wang, Guofang, Wu, Jie
core  

Gauss-Bonnet Theorem Related to the Semi-Symmetric Metric Connection in the Heisenberg Group

Symmetry
In this paper, we introduce the notion of the semi-symmetric metric connection in the Heisenberg group. Moreover, by using the method of Riemannian approximations, we define the notions of intrinsic curvature for regular curves, the intrinsic geodesic ...
Haiming Liu, Song Peng
semanticscholar   +1 more source

GUP corrected Casimir wormholes with electric charge in f(R,Lm) gravity

Physics Letters B
In this letter, we study and investigate the effects of the Generalized Uncertainty Principle (GUP) and electric charge on Casimir wormhole geometry in the Curvature-Lagrangian coupled f(R,Lm) gravity.
Mohammed Muzakkir Rizwan, Zinnat Hassan, P.K. Sahoo   +2 more
doaj   +1 more source

Traversable wormholes in minimally geometrical deformed trace-free gravity using gravitational decoupling

Nuclear Physics B
In this work, we investigate wormhole solutions through the utilization of gravitational decoupling, employing the Minimal Geometric Deformation (MGD) procedure within the framework of Trace-Free Gravity.
Piyachat Panyasiripan, Narakorn Kaewkhao, Phongpichit Channuie, Ali Övgün   +3 more
doaj   +1 more source

Analyzing the gravitational lensing and epicyclic oscillations around a regular charged black hole

Nuclear Physics B
The paper provides an analysis of gravitational weak lensing, Einstein rings, and fundamental frequencies within the context of the regular charged black hole. In this paper we deal with two regular charged black hole geometries.
Farzan Mushtaq, Xia Tiecheng, Allah Ditta, Shalini Singh, Asif Mahmood   +4 more
doaj   +1 more source

D'Atri spaces and the total scalar curvature of hemispheres, tubes and cylinders. [PDF]

Rev Mat Complut, 2023
Csikós B, Elnashar A, Horváth M.
europepmc   +1 more source

Exotic Lovelock black holes and extended quasitopological electromagnetism

European Physical Journal C: Particles and Fields
The generalization of Birkhoff’s theorem for higher dimensions in Lovelock gravity permits us to investigate the black hole solutions with horizon geometries of nonconstant curvature.
Askar Ali, Khalid Saifullah
doaj   +1 more source