Geometry of compact quasi-Einstein manifolds with boundary
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DOI: 10.1007/s00229-021-01340-4
Abstract: In this article, we study the geometry of compact quasi-Einstein manifolds with boundary. We establish sharp boundary estimates for compact quasi-Einstein manifolds with boundary that improve some previous results. Moreover, we obtain a characterization theorem… read more here.
Keywords: einstein manifolds; manifolds boundary; compact quasi; geometry ... See more keywords
Existence and characterisation of magnetic energy minimisers on oriented, compact Riemannian 3-manifolds with boundary in arbitrary helicity classes
Sign Up to like & getrecommendations! Published in 2019 at "Annals of Global Analysis and Geometry"
DOI: 10.1007/s10455-020-09727-4
Abstract: In this paper we deal with the existence, regularity and Beltrami field property of magnetic energy minimisers under a helicity constraint. We in particular tackle the problem of characterising local as well as global minimisers… read more here.
Keywords: energy; manifolds boundary; existence characterisation; energy minimisers ... See more keywords
Uniform gradient estimates on manifolds with a boundary and applications
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DOI: 10.1007/s13324-018-0228-6
Abstract: We revisit the problem of obtaining uniform gradient estimates for Dirichlet and Neumann heat semigroups on Riemannian manifolds with boundary. As applications, we obtain isoperimetric inequalities, using Ledoux’s argument, and uniform quantitative gradient estimates, firstly… read more here.
Keywords: gradient estimates; manifolds boundary; uniform gradient; estimates manifolds ... See more keywords
Conformal geometry of embedded manifolds with boundary from universal holographic formulæ
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DOI: 10.1016/j.aim.2021.107700
Abstract: For an embedded conformal hypersurface with boundary, we construct critical order local invariants and their canonically associated differential operators. These are obtained holographically in a construction that uses a singular Yamabe problem and a corresponding… read more here.
Keywords: geometry embedded; manifolds boundary; geometry; boundary universal ... See more keywords
Ideal Simplicial Volume of Manifolds with Boundary
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DOI: 10.1093/imrn/rny302
Abstract: We define the ideal simplicial volume for compact manifolds with boundary. Roughly speaking, the ideal simplicial volume of a manifold $M$ measures the minimal size of possibly ideal triangulations of $M$ “with real coefficients”, thus… read more here.
Keywords: ordinary simplicial; volume; manifolds boundary; simplicial volume ... See more keywords
Elliptic differential dilation–contraction problems on manifolds with boundary
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DOI: 10.1134/s001226611705010x
Abstract: We give a statement of dilation–contraction boundary value problems on manifolds with boundary in the scale of Sobolev spaces. For such problems, we introduce the notion of symbol and prove the corresponding finiteness theorem. read more here.
Keywords: elliptic differential; problems manifolds; dilation contraction; manifolds boundary ... See more keywords