Results 51 to 60 of about 100 (98)
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2019 We set out to obtain estimates of the Laplacian Spectrum of Riemannian manifolds with non-empty boundary. This was achieved using standard doubled manifold techniques. In simple terms, we pasted two copies of the same manifold along their common boundary
Sabatini Luca
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Resolvent Flows for Convex Functionals and p-Harmonic Maps
Analysis and Geometry in Metric Spaces, 2015 We prove the unique existence of the (non-linear) resolvent associated to a coercive proper lower semicontinuous function satisfying a weak notion of p-uniform λ-convexity on a complete metric space, and establish the existence of the minimizer of such ...
Kuwae Kazuhiro
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A Bernstein theorem for complete spacelike constant mean curvature hypersurfaces in Minkowski space
, 2007 We obtain a gradient estimate for the Gauss maps from complete spacelike constant mean curvature hypersurfaces in Minkowski space into the hyperbolic space.
Huai-Dong Cao, Ying Shen, Shunhui Zhu
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On generalized measure contraction property and energy functionals over Lipschitz maps
, 1999 . We will summarize a part of the result of [10], the construction of Sobolev spaces and energy functionals over maps between metric spaces under the strong measure contraction property of Bishop-Gromov type, which is a generalized notion of Ricci ...
Kazuhiro Kuwae, Takashi Shioya
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The second Yamabe invariant with boundary
Advances in Nonlinear AnalysisLet (M,∂M,g)\left(M,\partial M,g) be a compact Riemannian manifold with boundary. As a generalization of the Yamabe invariant with boundary Y(M,∂M,g)Y\left(M,\partial M,g), we define the kth Yamabe invariant with boundary Yk(M,∂M,g){Y}_{k}\left(M ...
Ho Pak Tung, Pyo Juncheol
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Curvature estimates and stability properties of CMC-submanifolds in space forms
, 1999 In this survey paper, we review several results connecting geometric properties (compactness, finiteness of the Morse index, caracterization of stable surfaces) and curvature estimates for constant mean curvature submanifolds in simply-connected space ...
Pierre Berard, Walcy Santos
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Biot-Savart-Laplace Dynamical Systems C.Udri¸ste and S.Udri¸ste
, 2008 . §1 recalls known facts about the magnetic field H produced by the Biot-Savart-Laplace law for a massive conductor ¯ D. §2 proves that generally the part in ext ¯ D of a magnetic line is a trajectory of a potential dynamical system of order two (a ...
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Isoperimetric problems and lower bounds on curvature
Analysis and Geometry in Metric SpacesThis note surveys some classical results and recent developments on the interplay between lower curvature bounds and the isoperimetric problem. It is based on mini-courses given at the European Doctorate School of Differential Geometry (Granada, July ...
Antonelli Gioacchino
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Comparison formulas for total mean curvatures of Riemannian hypersurfaces
Advanced Nonlinear StudiesWe devise some differential forms after Chern to compute a family of formulas for comparing total mean curvatures of nested hypersurfaces in Riemannian manifolds.
Ghomi Mohammad
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Topological tools for the prescribed scalar curvature problem on S n
Open Mathematics, 2014 Abuzaid Dina +3 more
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