Results 41 to 50 of about 2,543 (168)
On the Gauss-Bonnet for the quasi-Dirac operators on the sphere
Demonstratio Mathematica, 2017 We investigate examples of Gauss-Bonnet theorem and the scalar curvature for the two-dimensional commutative sphere with quasi-spectral triples obtained by modifying the order-one condition.
Sitarz Andrzej
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Holographic superconductivity in Einsteinian Cubic Gravity
Journal of High Energy Physics, 2022 We study the condensation of a charged scalar field in a (3 + 1)-dimensional asymptotically AdS background in the context of Einsteinian cubic gravity, featuring a holographic superconductor with higher curvature corrections corresponding to a CFT with a
José D. Edelstein +2 more
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Einstein-Gauss-Bonnet Gravity with Extra Dimensions
Galaxies, 2019 We consider a theory of modified gravity possessing d extra spatial dimensions with a maximally symmetric metric and a scale factor, whose ( 4 + d ) -dimensional gravitational action contains terms proportional to quadratic curvature scalars ...
Carsten van de Bruck, Chris Longden
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Quaternionic Shape Operator and Rotation Matrix on Ruled Surfaces
Axioms, 2023 In this article, we examine the relationship between Darboux frames along parameter curves and the Darboux frame of the base curve of the ruled surface. We derive the equations of the quaternionic shape operators, which can rotate tangent vectors around ...
Yanlin Li, Abdussamet Çalışkan
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Mean curvature flow with convex Gauss image [PDF]
Chinese Annals of Mathematics, Series B, 2008 36 ...
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Translators of the Gauss curvature flow
, 2022 A $K^ $-translator is a surface in Euclidean space $\r^3$ that moves by translations in a spatial direction and under the $K^ $-flow, where $K$ is the Gauss curvature and $ $ is a constant. We classify all $K^ $-translators that are rotationally symmetric.
Aydin, Muhittin Evren, López, Rafael
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Lower-dimensional Gauss–Bonnet gravity and BTZ black holes
Physics Letters B, 2020 We consider the D→3 limit of Gauss–Bonnet gravity. We find two distinct but similar versions of the theory and obtain black hole solutions for each. For one theory the solution is an interesting generalization of the BTZ black hole that does not have ...
Robie A. Hennigar +3 more
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, 2004 In Riemannian (differential) geometry, the differences between Euclidean geometry, elliptic geometry, and hyperbolic geometry are understood in terms of curvature. I think Gauss and Riemann captured the essence of geometry in their studies of surfaces and manifolds, and their point of view is spectacularly illuminating.
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Gauss Maps of the Mean Curvature Flow [PDF]
Mathematical Research Letters, 2003 final version, to appear in Mathematical Research ...
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Geometric conservation laws for cells or vesicles with membrane nanotubes or singular points
Journal of Nanobiotechnology, 2006 On the basis of the integral theorems about the mean curvature and Gauss curvature, geometric conservation laws for cells or vesicles are proved. These conservation laws may depict various special bionano structures discovered in experiments, such as the
Yin Jie, Yin Yajun
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