Results 11 to 20 of about 13,285,282 (73)
Quadratic Hamiltonians on non-Euclidean spaces of arbitrary constant curvature [PDF]
, 2013 This paper derives explicit solutions for Riemannian and sub-Riemannian curves on non-Euclidean spaces of arbitrary constant cross-sectional curvature.
Biggs, James
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Constant scalar curvature metrics on connected sums
International Journal of Mathematics and Mathematical Sciences, Volume 2003, Issue 7, Page 405-450, 2003., 2003 The Yamabe problem (proved in 1984) guarantees the existence of a metric of constant scalar curvature in each conformal class of Riemannian metrics on a compact manifold of dimension n ≥ 3, which minimizes the total scalar curvature on this conformal class. Let (M′, g′) and (M″, g″) be compact Riemannian n‐manifolds. We form their connected sumM′#M″ by
Dominic Joyce
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LARGE SOLUTIONS FOR YAMABE AND SIMILAR PROBLEMS ON DOMAINS IN RIEMANNIAN MANIFOLDS [PDF]
, 2011 We present a unified approach to study large positive solutions (i.e., u(x) -> infinity as x -> partial derivative Omega) of the equation Delta u + hu - k psi(u) = -f in an arbitrary domain Omega.
Martin Dindoš, Dindos, Martin; id_orcid
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On the Geroch-Traschen class of metrics
, 2009 We compare two approaches to semi-Riemannian metrics of low regularity. The maximally 'reasonable' distributional setting of Geroch and Traschen is shown to be consistently contained in the more general setting of nonlinear distributional geometry in the
Steinbauer, R., Vickers, J.A.
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Dual spaces of geodesic currents
Journal of Topology, Volume 18, Issue 4, December 2025.Abstract Every geodesic current on a hyperbolic surface has an associated dual space. If the current is a lamination, this dual embeds isometrically into a real tree. We show that, in general, the dual space is a Gromov hyperbolic metric tree‐graded space, and express its Gromov hyperbolicity constant in terms of the geodesic current.
Luca De Rosa, Dídac Martínez‐Granado
wiley +1 more source
Totally real submanifolds of the nearly kaehler 6-sphere [PDF]
, 1997 Totally real 3-dimensiunal submanifolds of the nearly Kaehler 6-sphere are the main topic of this thesis. Having introduced preliminaries on the theory of complex and almost complex manifolds, the nearly Kaehler structure of S(^6) and the non existence ...
Travlopanos, Fotios
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Relative cubulation of relative strict hyperbolization
Journal of the London Mathematical Society, Volume 111, Issue 4, April 2025.Abstract We prove that many relatively hyperbolic groups obtained by relative strict hyperbolization admit a cocompact action on a CAT(0)$\operatorname{CAT}(0)$ cubical complex. Under suitable assumptions on the peripheral subgroups, these groups are residually finite and even virtually special.
Jean‐François Lafont, Lorenzo Ruffoni
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Relatively Anosov representations via flows II: Examples
Journal of the London Mathematical Society, Volume 109, Issue 6, June 2024.Abstract This is the second in a series of two papers that develops a theory of relatively Anosov representations using the original “contracting flow on a bundle” definition of Anosov representations introduced by Labourie and Guichard–Wienhard. In this paper, we focus on building families of examples.
Feng Zhu, Andrew Zimmer
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Constrained deformations of positive scalar curvature metrics, II
Communications on Pure and Applied Mathematics, Volume 77, Issue 1, Page 795-862, January 2024.Abstract We prove that various spaces of constrained positive scalar curvature metrics on compact three‐manifolds with boundary, when not empty, are contractible. The constraints we mostly focus on are given in terms of local conditions on the mean curvature of the boundary, and our treatment includes both the mean‐convex and the minimal case.
Alessandro Carlotto, Chao Li
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Structure Theorem for Riemannian surfaces with arbitrary curvature [PDF]
, 2008 15 pages, 3 figures.-- MSC2000 codes: 53C20, 53C22, 58A99.-- ArXiv pre-print available at: http://arxiv.org/abs/0806.0090Previously presented as Poster at: X Encuentros de Análisis Real y Complejo (XEARCO'07, Palma de Mallorca, Spain, May 10-13, 2007 ...
Tourís, Eva +2 more
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