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19932026
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Showing 2015 · math.DGShow all

7 papers · 2 filters

math.DG2015★ 1 cited

Long time existence and bounded scalar curvature in the Ricci-harmonic flow

Yi Li

In this paper we study the long time existence of the Ricci-harmonic flow in terms of scalar curvature and Weyl tensor which extends Cao's result \cite{Cao2011} in the Ricci flow.…

math.DG2015

Horizontal holonomy and foliated manifolds

Y. Chitour, E. Grong, F. Jean +1

We introduce horizontal holonomy groups, which are groups defined using parallel transport only along curves tangent to a given subbundle of the tangent bundle. We provide expl…

math.DG2015

Variétés lorentziennes plates vues comme limites de variétés anti-de Sitter, d'après Danciger, Guéritaud et Kassel

Jean-Marc Schlenker

A survey on the recent work of Danciger, Guéritaud and Kassel on Margulis space-times and complete anti-de Sitter space-times. Margulis space-times are quotients of the 3-dimension…

math.DG2015★ 30 cited

Remarks on Contact and Jacobi Geometry

Andrew James Bruce, Katarzyna Grabowska, Janusz Grabowski

We present an approach to Jacobi and contact geometry that makes many facts, presented in the literature in an overcomplicated way, much more natural and clear. The key concepts ar…

math.DG2015★ 8 cited

Invariant connections and PBW theorem for Lie groupoid pairs

Camille Laurent-Gengoux, Yannick Voglaire

To a closed wide Lie subgroupoid of a Lie groupoid , i.e. a Lie groupoid pair, we associate an Atiyah class which we interpret as the obstruction to the ex…

math.DG2015★ 3 cited

Rank swapping algebra for Fock-Goncharov moduli space

Zhe Sun

The {\em rank swapping algebra} is a Poisson algebra defined on the set of ordered pairs of points of the circle using linking numbers, whose geometric model is given by a cert…

math.DG2015★ 1 cited

Riemannian and Sub-Riemannian geodesic flows

Mauricio Godoy Molina, Erlend Grong

In the present paper we show that the geodesic flows of a sub-Riemannian metric and that of a Riemannian extension commute if and only if the extended metric is parallel with respe…