Results 11 to 20 of about 2,719,579 (161)
Unimodular measures on the space of all Riemannian manifolds [PDF]
, 2020 We study unimodular measures on the space $\mathcal M^d$ of all pointed Riemannian $d$-manifolds. Examples can be constructed from finite volume manifolds, from measured foliations with Riemannian leaves, and from invariant random subgroups of Lie groups.
Abert, Miklos, Biringer, Ian
core +2 more sources
Hierarchy structures in finite index CMC surfaces [PDF]
Advances in Calculus of Variations, 2022 Given ε 0 > 0 {{\varepsilon}_{0}>0} , I ∈ ℕ ∪ { 0 } {I\in\mathbb{N}\cup\{0\}} and K 0 , H 0 ≥ 0 {K_{0},H_{0}\geq 0} , let X be a complete Riemannian 3-manifold with injectivity radius Inj ( X ) ≥ ε 0 {\operatorname{Inj}(X)\geq{\varepsilon}_{0}} and ...
William H. Meeks III, Joaquín Pérez
semanticscholar +1 more source
Natural SU(2)-structures on tangent sphere bundles [PDF]
, 2020 We define and study natural $\mathrm{SU}(2)$-structures, in the sense of Conti-Salamon, on the total space $\cal S$ of the tangent sphere bundle of any given oriented Riemannian 3-manifold $M$.
Albuquerque, R.
core +2 more sources
Generalized cylinders in semi-Riemannian and spin geometry [PDF]
, 2003 .We use a construction which we call generalized cylinders to give a new proof of the fundamental theorem of hypersurface theory. It has the advantage of being very simple and the result directly extends to semi-Riemannian manifolds and to embeddings ...
Christian Bär +2 more
semanticscholar +1 more source
New Dimensions for Wound Strings: The Modular Transformation of Geometry to Topology [PDF]
, 2006 We show, using a theorem of Milnor and Margulis, that string theory on compact negatively curved spaces grows new effective dimensions as the space shrinks, generalizing and contextualizing the results in hep-th/0510044. Milnor's theorem relates negative
A. Manning +12 more
core +5 more sources
Some Curvature Problems in Semi-Riemannian Geometry [PDF]
, 2010 In this survey article we review several results on the curvature of semi-Riemannian metrics which are motivated by the positive mass theorem. The main themes are estimates of the Riemann tensor of an asymptotically flat manifold and the construction of ...
AN Bernal +20 more
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Every conformal class contains a metric of bounded geometry [PDF]
, 2013 We show that on every manifold, every conformal class of semi-Riemannian metrics contains a metric $$g$$g such that each $$k$$kth-order covariant derivative of the Riemann tensor of $$g$$g has bounded absolute value $$a_k$$ak.
O. Müller, M. Nardmann
semanticscholar +1 more source
, 2021 We are concerned with the global weak continuity of the Cartan structural system -- or equivalently, the Gauss--Codazzi--Ricci system -- on semi-Riemannian manifolds with lower regularity.
Chen, Gui-Qiang G., Li, Siran
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On some sub-Riemannian objects in hypersurfaces of sub-Riemannian manifolds [PDF]
Bulletin of the Australian Mathematical Society, 2004 We study some sub-Riemannian objects (such as horizontal connectivity, horizontal connection, horizontal tangent plane, horizontal mean curvature) in hypersurfaces of sub-Riemannian manifolds.
Kanghai Tan, Xiao-Ping Yang
semanticscholar +1 more source
, 2012 Due to the isotropy $d$-dimensional hyperbolic space, there exist a spherically symmetric fundamental solution for its corresponding Laplace-Beltrami operator.
Abramowitz M +34 more
core +2 more sources