Results 41 to 50 of about 97 (96)

On generalized measure contraction property and energy functionals over Lipschitz maps [PDF]

, 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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Generic Properties of Critical Points of the Weyl Tensor

Advanced Nonlinear Studies, 2017
Given (M,g)${(M,g)}$, a smooth compact Riemannian n-manifold, we prove that for a generic Riemannian metric g the critical points of the function 𝒲g⁢(ξ):=|Weylg⁢(ξ)|g2${\mathcal{W}_{g}(\xi):=\lvert\mathrm{Weyl}_{g}(\xi)\rvert^{2}_{g}}$ with 𝒲g⁢(ξ)≠0 ...
Micheletti Anna Maria, Pistoia Angela
doaj   +1 more source

Curvature estimates and stability properties of CMC-submanifolds in space forms [PDF]

, 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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Sharp upper bounds for the capacity in the hyperbolic and Euclidean spaces

Advances in Nonlinear Analysis
We derive various sharp upper bounds for the pp-capacity of a smooth compact set KK in the hyperbolic space Hn{{\mathbb{H}}}^{n} and the Euclidean space Rn{{\mathbb{R}}}^{n}.
Li Haizhong, Li Ruixuan, Xiong Changwei
doaj   +1 more source

Biot-Savart-Laplace Dynamical Systems C.Udri¸ste and S.Udri¸ste [PDF]

, 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 ...

core  

Annuloids and Δ-wings

Advanced Nonlinear Studies
We describe new annular examples of complete translating solitons for the mean curvature flow and how they are related to a family of translating graphs, the Δ-wings.
Hoffman David, Martín Francisco, White Brian   +2 more
doaj   +1 more source

Estimates of the Laplacian Spectrum and Bounds of Topological Invariants for Riemannian Manifolds with Boundary II

Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2020
We present some estimate of the Laplacian Spectrum and of Topological Invariants for Riemannian manifold with pinched sectional curvature and with non-empty and non-convex boundary with finite injectivity radius. These estimates do not depend directly on
Sabatini Luca
doaj   +1 more source

Chern–Simons Higgs models for p-Laplacian on finite graphs: a topological degree approach

Advanced Nonlinear Studies
We investigate the Chern–Simons Higgs models for p-Laplacian on a connected finite graph, employing topological degree theory as our main tool. Notably, we overcome the difficulties arising from the nonlinearity of p-Laplacian operator and calculate the ...
Liu Chunlian, Ge Yating, Wang Linfeng
doaj   +1 more source

Lichnerowicz-type equations on complete manifolds

Advances in Nonlinear Analysis, 2016
Under appropriate spectral assumptions, we prove two existence results for positive solutions of Lichnerowicz-type equations on complete manifolds.
Albanese Guglielmo, Rigoli Marco
doaj   +1 more source

Singular Kähler-Einstein metrics and RCD spaces

Forum of Mathematics, Pi
We study Kähler-Einstein metrics on singular projective varieties. We show that under an approximation property with constant scalar curvature metrics, the metric completion of the smooth part is a noncollapsed RCD space, and is homeomorphic to the ...
Gabor Szekelyhidi
doaj   +1 more source