Results 41 to 50 of about 13,435 (197)
European Physical Journal C: Particles and Fields, 2020 Recently, a novel four-dimensional Einstein–Gauss–Bonnet (EGB) theory was presented to bypass the Lovelock’s theorem and to give nontrivial effects on the four-dimensional local gravity.
Zi-Chao Lin +4 more
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Radiating black hole solutions in Einstein-Gauss-Bonnet gravity
, 2005 In this paper, we find some new exact solutions to the Einstein-Gauss-Bonnet equations. First, we prove a theorem which allows us to find a large family of solutions to the Einstein-Gauss-Bonnet gravity in $n$-dimensions.
Alfredo E. Dominguez +7 more
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Intrinsic curvature of curves and surfaces and a Gauss-Bonnet theorem in the Heisenberg group [PDF]
, 2016 We use a Riemannnian approximation scheme to define a notion of intrinsic Gaussian curvature for a Euclidean C2 -smooth surface in the Heisenberg group H away from characteristic points, and a notion of intrinsic signed geodesic curvature for Euclidean ...
Balogh, Zoltan M. +2 more
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The Gauss-Bonnet theorem for Riemannian polyhedra [PDF]
Transactions of the American Mathematical Society, 1943 \{This is a joint review for Zbl 0060.38102 -- 0060.38106. \} The classical Gauss-Bonnet formula expresses the curvatura integral of a curved polygon on a surface in \(E_3\) in terms of angles of the polygon and the integral of geodesic curvatures of its edges.
Allendoerfer, Carl B., Weil, André
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Einstein-Gauss-Bonnet gravity in 4-dimensional space-time
, 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
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The hyperbolic Gauss-Bonnet type theorem [PDF]
, 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
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Bending Energy Schemes for Discrete‐Spring‐Network Structural Modelling of Red Blood Cells
International 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
Columbia Journal of Undergraduate MathematicsThe Gauss–Bonnet theorem is a crowning result of surface theory that gives a fundamental connection between geometry and topology. Roughly speaking, geometry refers to the “local” properties—lengths, angles, curvature— of some fixed object, while topology seeks to identify the “global” properties that are unchanged by a continuous deformation, such as ...
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Publications de l'Institut Mathematique, 2012 A very simple proof of the Gauss-Bonnet theorem is given in invariant form, i.e., independent of the coordinate system of a surface.
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A lower bound on volumes of end‐periodic mapping tori
Journal 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
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