Results 41 to 50 of about 1,492 (57)

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

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

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

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

On Singular Liouville Equations and Systems

Advanced Nonlinear Studies, 2017
We consider some singular Liouville equations and systems motivated by uniformization problems in a non-smooth setting, as well as from models in mathematical physics.
Malchiodi Andrea
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

Characteristic numbers of manifold bundles over spheres and positive curvature via block bundles

Forum of Mathematics, Sigma
Given a simply connected manifold M, we completely determine which rational monomial Pontryagin numbers are attained by fiber homotopy trivial M-bundles over the k-sphere, provided that k is small compared to the dimension and the connectivity of M ...
Georg Frenck, Jens Reinhold
doaj   +1 more source

Sobolev-Kantorovich Inequalities

Analysis and Geometry in Metric Spaces, 2015
In a recent work, E. Cinti and F. Otto established some new interpolation inequalities in the study of pattern formation, bounding the Lr(μ)-norm of a probability density with respect to the reference measure μ by its Sobolev norm and the Kantorovich ...
Ledoux Michel
doaj   +1 more source

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

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
doaj   +1 more source