Results 61 to 70 of about 621,294 (188)

Gauss-Bonnet Theorem in the Universal Covering Group of Euclidean Motion Group E(2) with the General Left-Invariant Metric

open access: yesJournal of Nonlinear Mathematical Physics, 2022
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

open access: yes, 2020
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]

open access: yes, 2002
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]

open access: yesJournal of Geometric Analysis, 2018
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]

open access: yesTransactions of the American Mathematical Society, 2020
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

Bending of Light by Magnetars within Generalized Born-Infeld Electrodynamics: Insights from the Gauss-Bonnet Theorem

open access: yesSymmetry
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

open access: yesInternational Journal for Numerical Methods in Biomedical Engineering, Volume 41, Issue 11, November 2025.
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

open access: yesJournal of Topology, Volume 18, Issue 3, September 2025.
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

open access: yesPhysics Letters B, 2023
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

open access: yesComputer Graphics Forum, Volume 44, Issue 5, August 2025.
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

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