Results 1 to 10 of about 19,550 (73)
Intrinsic random walks and sub-Laplacians in sub-Riemannian geometry [PDF]
, 2017 On a sub-Riemannian manifold we define two type of Laplacians. The \emph{macroscopic Laplacian} $\Delta_\omega$, as the divergence of the horizontal gradient, once a volume $\omega$ is fixed, and the \emph{microscopic Laplacian}, as the operator ...
Boscain, Ugo, Neel, Robert, Rizzi, Luca
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Numerical calculations near spatial infinity [PDF]
, 2006 After describing in short some problems and methods regarding the smoothness of null infinity for isolated systems, I present numerical calculations in which both spatial and null infinity can be studied.
Zenginoglu, Anil
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Relativity and Singularities - A Short Introduction for Mathematicians [PDF]
, 2005 We summarize the main ideas of General Relativity and Lorentzian geometry, leading to a proof of the simplest of the celebrated Hawking-Penrose singularity theorems.
Natario, Jose
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Geodesics on a supermanifold and projective equivalence of super connections [PDF]
, 2012 We investigate the concept of projective equivalence of connections in supergeometry. To this aim, we propose a definition for (super) geodesics on a supermanifold in which, as in the classical case, they are the projections of the integral curves of a ...
Abraham +22 more
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Non-Abelian gauge field theory in scale relativity [PDF]
, 2006 Gauge field theory is developed in the framework of scale relativity. In this theory, space-time is described as a non-differentiable continuum, which implies it is fractal, i.e., explicitly dependent on internal scale variables.
Célérier M. N. +10 more
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On geodesics in low regularity
, 2018 We consider geodesics in both Riemannian and Lorentzian manifolds with metrics of low regularity. We discuss existence of extremal curves for continuous metrics and present several old and new examples that highlight their subtle interrelation with ...
Steinbauer, Roland, Sämann, Clemens
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Entanglement entropy in inhomogeneous quenches in AdS$_3$/CFT$_2$
, 2018 We compute entanglement entropy and differential entropy in inhomogeneous holographic quenches in AdS$_3$/CFT$_2$. The quenches are arbitrarily inhomogeneous and modeled by an infalling shell of massless non-rotating matter where the final state is not ...
De Jonckheere, Tim, Lindgren, Jonathan
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Infinitesimal and local convexity of a hypersurface in a semi-Riemannian manifold
, 2012 Given a Riemannian manifold M and a hypersurface H in M, it is well known that infinitesimal convexity on a neighborhood of a point in H implies local convexity. We show in this note that the same result holds in a semi-Riemannian manifold.
A. Germinario +25 more
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On the energy functional on Finsler manifolds and applications to stationary spacetimes
, 2009 In this paper we first study some global properties of the energy functional on a non-reversible Finsler manifold. In particular we present a fully detailed proof of the Palais--Smale condition under the completeness of the Finsler metric.
A. Abbondandolo +35 more
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Geodesic completeness of generalized space-times
, 2015 We define the notion of geodesic completeness for semi-Riemannian metrics of low regularity in the framework of the geometric theory of generalized functions.
Steinbauer, Roland, Sämann, Clemens
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