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Inverse Gauss Curvature Flows and Orlicz Minkowski Problem
Analysis and Geometry in Metric Spaces, 2022 Liu and Lu [27] investigated a generalized Gauss curvature flow and obtained an even solution to the dual Orlicz-Minkowski problem under some appropriate assumptions.
Chen Bin, Cui Jingshi, Zhao Peibiao
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Convex hypersurfaces with prescribed Musielak-Orlicz-Gauss image measure
Advanced Nonlinear Studies, 2023 In this article, we study the Musielak-Orlicz-Gauss image problem based on the Gauss curvature flow in Li et al. We deal with some cases in which there is no uniform estimate for the Gauss curvature flow.
Li Qi-Rui, Yi Caihong
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Conflict between some higher-order curvature invariant terms
Nuclear Physics B, 2021 A viable quantum theory does not allow curvature invariant terms of different higher orders to be accommodated in the gravitational action. We show that there is indeed a conflict between the curvature squared and Gauss-Bonnet squared terms from the ...
Dalia Saha +3 more
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Spheres and Tori as Elliptic Linear Weingarten Surfaces
Mathematics, 2022 The linear Weingarten condition with ellipticity for the mean curvature and the extrinsic Gaussian curvature on a surface in the three-sphere can define a Riemannian metric which is called the elliptic linear Weingarten metric.
Dong-Soo Kim, Young Ho Kim, Jinhua Qian
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A Note on Superspirals of Confluent Type
Mathematics, 2020 Superspirals include a very broad family of monotonic curvature curves, whose radius of curvature is defined by a completely monotonic Gauss hypergeometric function.
Jun-ichi Inoguchi +2 more
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Hypersurfaces with pointwise 1-type Gauss map in Lorentz–Minkowski space; 146–161 [PDF]
Proceedings of the Estonian Academy of Sciences, 2009 Hypersurfaces of a LorentzâMinkowski space Ln+1 with pointwise 1-type Gauss map are characterized. We prove that an oriented hypersurface Mq in Ln+1 has pointwise 1-type Gauss map of the first kind if and only if Mq has constant mean curvature and ...
Uğur Dursun
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Quadratic curvature corrections to stringy effective actions and the absence of de Sitter vacua
Journal of High Energy Physics, 2022 We investigate the combined effect of fluxes and higher-order curvature corrections, in the form of the Gauss-Bonnet term, on the existence of de Sitter vacua in a heterotic string inspired framework, compactified on spheres and tori.
Francesc Cunillera +3 more
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Approximation of Gaussian Curvature by the Angular Defect: An Error Analysis
Mathematical and Computational Applications, 2021 It is common practice in science and engineering to approximate smooth surfaces and their geometric properties by using triangle meshes with vertices on the surface.
Marie-Sophie Hartig
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Analytical study of holographic p-wave superfluid models in Gauss–Bonnet gravity
European Physical Journal C: Particles and Fields, 2020 In Gauss–Bonnet gravity, we analytically investigate the p-wave superfluid models in five dimensional AdS soliton and AdS black hole in order to explore the influences of the higher curvature correction on the holographic superfluid phase transition.
Chuyu Lai +3 more
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Analytical study of holographic superconductor with backreaction in 4d Gauss-Bonnet gravity
Physics Letters B, 2021 In this paper we have analytically investigated holographic superconductors in four dimensional Einstein-Gauss-Bonnet gravity background. Recently the novel four dimensional Einstein-Gauss-Bonnet gravity has been formulated by rescaling the Gauss-Bonnet ...
Debabrata Ghorai, Sunandan Gangopadhyay
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