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20042026
most citedTraffic Instabilities in Self-Organized Pedestrian Crowds

217 citations

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11 papers · 1 filter

math.DG2025

Kähler-Ricci flows coming out of metric spaces

Alix Deruelle, Vincent Guedj, Henri Guenancia +1

Given a compact Kähler manifold and a closed, positive -current on , we find sufficient conditions for to induce a metric structure which is the Gro…

math.DG2023

The Schwarzian derivative on Finsler manifolds of constant curvature

Behroz Bidabad, Faranak Sedighi

Lagrange introduced the notion of Schwarzian derivative and Thurston discovered its mysterious properties playing a role similar to that of curvature on Riemannian manifolds. Here…

math.DG2021★ 2 cited

Singular Gauduchon metrics

Chung-Ming Pan

In 1977, Gauduchon proved that on every compact hermitian manifold there exists a conformally equivalent hermitian metric which satisfies $\mathrm{dd}^c ω…

math.DG2020★ 15 cited

Weighted K-stability of polarized varieties and extremality of Sasaki manifolds

Vestislav Apostolov, David M. J. Calderbank, Eveline Legendre

We use the correspondence between extremal Sasaki structures and weighted extremal Kahler metrics defined on a regular quotient of a Sasaki manifold, established by the first two a…

math.DG2018

Normalization of singular contact forms and primitive 1-forms

Kai Jiang, Truong Hong Minh, Nguyen Tien Zung

A differential 1-form on a manifold of odd dimension , which satisfies the contact condition almost everywhere, but which vanishes at a point ,…

math.DG2015★ 1 cited

The Einstein-Hilbert functional and the Sasaki-Futaki invariant

Charles P. Boyer, Hongnian Huang, Eveline Legendre +1

We show that the Einstein-Hilbert functional, as a functional on the space of Reeb vector fields, detects the vanishing Sasaki-Futaki invariant. In particular, this provides an obs…

math.DG2014

Diffeomorphic image matching with left-invariant metrics

Tanya Schmah, Laurent Risser, François-Xavier Vialard

The geometric approach to diffeomorphic image registration known as "large deformation by diffeomorphic metric mapping" (LDDMM) is based on a left action of diffeomorphisms on imag…

math.DG2012★ 1 cited

Some open questions on anti-de Sitter geometry

Thierry Barbot, Francesco Bonsante, Jeffrey Danciger +6

We present a list of open questions on various aspects of AdS geometry, that is, the geometry of Lorentz spaces of constant curvature -1. When possible we point out relations with…

math.DG2006★ 94 cited

On the renormalized volume of hyperbolic 3-manifolds

Kirill Krasnov, Jean-Marc Schlenker

The renormalized volume of hyperbolic manifolds is a quantity motivated by the AdS/CFT correspondence of string theory and computed via a certain regularization procedure. The main…

math.DG2006★ 1 cited

On the infinitesimal rigidity of weakly convex polyhedra

Robert Connelly, Jean-Marc Schlenker

The main motivation here is a question: whether any polyhedron which can be subdivided into convex pieces without adding a vertex, and which has the same vertices as a convex polyh…

math.DG2006★ 1 cited

Circle patterns on singular surfaces

Jean-Marc Schlenker

We consider ``hyperideal'' circle patterns, i.e. patterns of disks appearing in the definition of the Delaunay decomposition associated to a set of disjoint disks, possibly with co…