Results 71 to 80 of about 298,518 (247)
The positive scalar curvature cobordism category
Duke Mathematical Journal, 2022 We prove that many spaces of positive scalar curvature metrics have the homotopy type of infinite loop spaces. Our result in particular applies to the path component of the round metric inside $\mathcal{R}^+ (S^d)$ if $d \geq 6$. To achieve that goal, we study the cobordism category of manifolds with positive scalar curvature.
Ebert, J, Randal-Williams, O
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Bures distance between two displaced thermal states
, 1999 The Bures distance between two displaced thermal states and the corresponding geometric quantities (statistical metric, volume element, scalar curvature) are computed.
C. W. Gardiner +17 more
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Mathematica Moravica, 2014 The object of the present paper is to study a special type of spacetime. It is proved that in a conformally flat (W RS)4 spacetime with non-zero scalar curvature the vector field p defined by ɡ(X, p) = E(X) is irrotational and the integral curves of the ...
Mallick Sahanous, Chand De Uday
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On isotropic Berwald scalar curvature
International Journal of Mathematics, 2023 In this paper, we establish a closer relation between the Berwald scalar curvature and the [Formula: see text]-curvature. In fact, we prove that a Finsler metric has isotropic Berwald scalar curvature if and only if it has weakly isotropic [Formula: see text]-curvature. For Finsler metrics of scalar flag curvature and of weakly isotropic [Formula: see
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The local moduli of Sasakian 3-manifolds
International Journal of Mathematics and Mathematical Sciences, 2002 The Newman-Penrose-Perjes formalism is applied to Sasakian 3-manifolds and the local form of the metric and contact structure is presented. The local moduli space can be parameterised by a single function of two variables and it is shown that, given ...
Brendan S. Guilfoyle
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Asymptotic generalized extended uncertainty principle
European Physical Journal C: Particles and Fields, 2020 We present a formalism which allows for the perturbative derivation of the Extended Uncertainty Principle (EUP) for arbitrary spatial curvature models and observers.
Mariusz P. Da̧browski, Fabian Wagner
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پژوهشهای ریاضی, 2021 In this paper, in the first part, the affine geometry is assumed as the main framework. Then we have a spacious explanation of necessary introduction in rather different subjects.
Azam Etemad Dehkordy
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Geometric realizations of curvature models by manifolds with constant scalar curvature [PDF]
arXiv, 2008 We show any Riemannian curvature model can be geometrically realized by a manifold with constant scalar curvature. We also show that any pseudo-Hermitian curvature model, para-Hermitian curvature model, hyper-pseudo-Hermitian curvature model, or hyper-para-Hermitian curvature model can be realized by a manifold with constant scalar and *-scalar ...
arxiv
On the moduli space curvature at infinity
Journal of High Energy PhysicsWe analyse the scalar curvature of the vector multiplet moduli space M X VM $$ {\mathcal{M}}_X^{\textrm{VM}} $$ of type IIA string theory compactified on a Calabi-Yau manifold X.
Fernando Marchesano +2 more
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Remark about scalar curvature and Riemannian submersions [PDF]
arXiv, 2005 We consider modified scalar curvature functions for Riemannian manifolds equipped with smooth measures. Given a Riemannian submersion whose fiber transport is measure-preserving up to constants, we show that the modified scalar curvature of the base is bounded below in terms of the scalar curvatures of the total space and fibers. We give an application
arxiv