Results 61 to 70 of about 621,294 (188)
The universal covering group of Euclidean motion group E(2) with the general left-invariant metric is denoted by (E(2)~,gL(λ1,λ2)),\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb ...
Wanzhen Li, Haiming Liu
semanticscholar +1 more source
Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
In this Letter we present a general covariant modified theory of gravity in $D\!=\!4$ space-time dimensions which propagates only the massless graviton and bypasses the Lovelock's theorem.
Glavan, Dražen, Lin, Chunshan
core +1 more source
The hyperbolic Gauss-Bonnet type theorem [PDF]
We show that the Gauss-Bonnet type theorem holds for the hyperbolic Gauss-Kronecker curvature of a closed orientable even dimensional hypersurface in hyperbolic space.
Izumiya, S, Pei, D, Romero-Fuster, M. C
core +1 more source
The Gauss–Bonnet Theorem for Coherent Tangent Bundles over Surfaces with Boundary and Its Applications [PDF]
In Saji et al. (J Math 62:259–280, 2008; Ann Math 169:491–529, 2009; J Geom Anal 222):383–409, 2012) the Gauss–Bonnet formulas for coherent tangent bundles over compact-oriented surfaces (without boundary) were proved.
W. Domitrz, Michał Zwierzyński
semanticscholar +1 more source
Some criteria for circle packing types and combinatorial Gauss-Bonnet theorem [PDF]
We investigate criteria for circle packing(CP) types of disk triangulation graphs embedded into simply connected domains in $ \mathbb{C}$. In particular, by studying combinatorial curvature and the combinatorial Gauss-Bonnet theorem involving boundary ...
Byung-Geun Oh
semanticscholar +1 more source
We compute the weak bending angle of light within generalised Born–Infeld electrodynamics as it passes through the equatorial plane of a magnetic dipole.
N. Beissen +5 more
semanticscholar +1 more source
Bending Energy Schemes for Discrete‐Spring‐Network Structural Modelling of Red Blood Cells
This research investigated three bending energy schemes for discrete‐spring‐network structural modelling termed bending energy scheme (BES) A, B and C. Flat and enclosed membrane test cases were presented, and predictions using the schemes were compared.
Osayomwanbor Ehi‐Egharevba +2 more
wiley +1 more source
A lower bound on volumes of end‐periodic mapping tori
Abstract We provide a lower bound on the volume of the compactified mapping torus of a strongly irreducible end‐periodic homeomorphism f:S→S$f: S \rightarrow S$. This result, together with work of Field, Kim, Leininger, and Loving [J. Topol. 16 (2023), no.
Elizabeth Field +3 more
wiley +1 more source
Shadow revisiting and weak gravitational lensing with Chern-Simons modification
Dynamical Chern-Simons (dCS) gravity has been attracting plenty of attentions due to the fact that it is a parity-violating modified theory of gravity that corresponds to a well-posed effective field theory in weak coupling approximation.
Yuan Meng +3 more
doaj +1 more source
One‐Shot Method for Computing Generalized Winding Numbers
Abstract The generalized winding number is an essential part of the geometry processing toolkit, allowing to quantify how much a given point is inside a surface, even when the surface has boundaries and noise. We propose a new universal method to compute a generalized winding number, based only on the surface boundary and the intersections of a single ...
C. Martens, M. Bessmeltsev
wiley +1 more source

