Results 1 to 10 of about 5,229 (187)
(1,1)-geodesic maps into grassmann manifolds [PDF]
Mathematische Zeitschrift, 1995 Let \(M\) be a Kähler manifold, \(D\) be the Levi-Civita connection extended complex-linearly to the complexification of the tangent bundle, \(N\) be a Riemannian manifold, and \(\varphi:M\to N\) be a smooth map. The Hessian \(Dd\varphi\) may be decomposed to \((2,0)\), \((1,1)\), \((0,2)\) parts. The map \(\varphi\) is called pluriharmonic if its \((1,
J.-H. Eschenburg, Renato Tribuzy
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Geodesics in large planar maps and in the Brownian map [PDF]
Acta Mathematica, 2010 64 pages, second version with minor corrections, and additional references and ...
J. F. Le Gall
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Geodesics in the Space of Measure-Preserving Maps and Plans [PDF]
Archive for Rational Mechanics and Analysis, 2008 We study Brenier's variational models for incompressible Euler equations. These models give rise to a relaxation of the Arnold distance in the space of measure-preserving maps and, more generally, measure-preserving plans. We analyze the properties of the relaxed distance, we show a close link between the Lagrangian and the Eulerian model, and we ...
Luigi Ambrosio, Alessio Figalli
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Stability of geodesics in the Brownian map [PDF]
The Annals of Probability, 2017 29 pages, 7 figures, final ...
Omer Angel +2 more
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EGNet: 3D Semantic Segmentation Through Point–Voxel–Mesh Data for Euclidean–Geodesic Feature Fusion [PDF]
SensorsWith the advancement of service robot technology, the demand for higher boundary precision in indoor semantic segmentation has increased. Traditional methods of extracting Euclidean features using point cloud and voxel data often neglect geodesic ...
Qi Li +5 more
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Non-commutative Integrability, Moment Map and Geodesic Flows [PDF]
Annals of Global Analysis and Geometry, 2001 19 pages, minor changes, to appear in Annals of Global Analysis and ...
Alexey V. Bolsinov, Božidar Jovanović
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Geodesics in Brownian surfaces (Brownian maps)
Annales de l'Institut Henri Poincaré, Probabilités et Statistiques, 2016 We define a class a metric spaces we call Brownian surfaces, arising as the scaling limits of random maps on general orientable surfaces with a boundary and we study the geodesics from a uniformly chosen random point. These metric spaces generalize the well-known Brownian map and our results generalize the properties shown by Le Gall on geodesics in ...
Jérémie Bettinelli
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Totally geodesic maps into manifolds with no focal points [PDF]
Bulletin of the London Mathematical Society, 2019 16 pages; added an outline of the paper to the introduction; moved forward the subsection on heat flow ...
James Dibble
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Expanding maps on the circle and geodesic laminations [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2015 In this article we consider a family of orientation preserving expanding maps on the circle. We associate to each member of this family a geodesic lamination on the disc, endowed with a transversal measure. The map on the circle induces an expanding dynamical systems on the lamination. We explore relations between the geometry of the lamination and the
Vı́ctor F. Sirvent
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Geodesic flows, interval maps, and symbolic dynamics [PDF]
Bulletin of the American Mathematical Society, 1991 Geodesic flows and interval maps are two topics in the theory of dynamical systems with a long mathematical history. The first of these seems to have originated with Jacobi who related the flows to the study of Hamiltonian systems. The second arises in diverse settings, such as the modelling of population genetics and the frequency count of digits in ...
Roy L. Adler, Leopold Flatto
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