Constant mean curvature solutions of the Einstein-scalar field constraint equations on asymptotically hyperbolic manifolds

Classical and Quantum Gravity ◽

10.1088/0264-9381/27/24/245019 ◽

2010 ◽

Vol 27 (24) ◽

pp. 245019 ◽

Author(s):

Anna Sakovich

Keyword(s):

Scalar Field ◽

Mean Curvature ◽

Constant Mean Curvature ◽

Hyperbolic Manifolds ◽

Asymptotically Hyperbolic Manifolds ◽

Constraint Equations ◽

Asymptotically Hyperbolic

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The foliation of asymptotically hyperbolic manifolds by surfaces of constant mean curvature (including the evolution equations and estimates)

manuscripta mathematica ◽

10.1007/s00229-004-0439-z ◽

2004 ◽

Vol 113 (4) ◽

pp. 403-421 ◽

Author(s):

Ralf Rigger

Keyword(s):

Mean Curvature ◽

Evolution Equations ◽

Constant Mean Curvature ◽

Hyperbolic Manifolds ◽

Asymptotically Hyperbolic Manifolds ◽

Asymptotically Hyperbolic

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A Large Class of Non-Constant Mean Curvature Solutions of the Einstein Constraint Equations on an Asymptotically Hyperbolic Manifold

Communications in Mathematical Physics ◽

10.1007/s00220-012-1420-4 ◽

2012 ◽

Vol 310 (3) ◽

pp. 705-763 ◽

Author(s):

Romain Gicquaud ◽

Anna Sakovich

Keyword(s):

Large Class ◽

Mean Curvature ◽

Constant Mean Curvature ◽

Hyperbolic Manifold ◽

Constraint Equations ◽

Asymptotically Hyperbolic Manifold ◽

Einstein Constraint Equations ◽

Asymptotically Hyperbolic

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Asymptotically hyperbolic non-constant mean curvature solutions of the Einstein constraint equations

Classical and Quantum Gravity ◽

10.1088/0264-9381/14/1a/016 ◽

1997 ◽

Vol 14 (1A) ◽

pp. A189-A201 ◽

Author(s):

James Isenberg ◽

Jiseong Park

Keyword(s):

Mean Curvature ◽

Constant Mean Curvature ◽

Constraint Equations ◽

Einstein Constraint Equations ◽

Asymptotically Hyperbolic

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Insufficient convergence of inverse mean curvature flow on asymptotically hyperbolic manifolds

Journal of Differential Geometry ◽

10.4310/jdg/1271271798 ◽

2010 ◽

Vol 84 (1) ◽

pp. 191-229 ◽

Author(s):

André Neves

Keyword(s):

Mean Curvature ◽

Mean Curvature Flow ◽

Curvature Flow ◽

Hyperbolic Manifolds ◽

Asymptotically Hyperbolic Manifolds ◽

Inverse Mean Curvature Flow ◽

Asymptotically Hyperbolic

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Regularity of inverse mean curvature flow in asymptotically hyperbolic manifolds with dimension 3

Science China Mathematics ◽

10.1007/s11425-020-1860-6 ◽

2021 ◽

Author(s):

Yuguang Shi ◽

Jintian Zhu

Keyword(s):

Mean Curvature ◽

Mean Curvature Flow ◽

Curvature Flow ◽

Hyperbolic Manifolds ◽

Asymptotically Hyperbolic Manifolds ◽

Inverse Mean Curvature Flow ◽

Asymptotically Hyperbolic

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Perturbative solutions to the extended constant scalar curvature equations on asymptotically hyperbolic manifolds

Proceedings of the American Mathematical Society ◽

10.1090/s0002-9939-09-09703-2 ◽

2009 ◽

Vol 137 (07) ◽

pp. 2293-2298

Author(s):

Erwann Delay

Keyword(s):

Scalar Curvature ◽

Constant Scalar Curvature ◽

Hyperbolic Manifolds ◽

Asymptotically Hyperbolic Manifolds ◽

Asymptotically Hyperbolic

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Non-constant mean curvature trumpet solutions for the Einstein constraint equations

Classical and Quantum Gravity ◽

10.1088/0264-9381/33/14/145001 ◽

2016 ◽

Vol 33 (14) ◽

pp. 145001

Author(s):

Jeremy Leach

Keyword(s):

Mean Curvature ◽

Constant Mean Curvature ◽

Constraint Equations ◽

Einstein Constraint Equations

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Resolvent and spectral measure on non-trapping asymptotically hyperbolic manifolds I: Resolvent construction at high energy

Communications in Partial Differential Equations ◽

10.1080/03605302.2015.1116561 ◽

2016 ◽

Vol 41 (3) ◽

pp. 515-578 ◽

Author(s):

Xi Chen ◽

Andrew Hassell

Keyword(s):

Spectral Measure ◽

High Energy ◽

Hyperbolic Manifolds ◽

Asymptotically Hyperbolic Manifolds ◽

Asymptotically Hyperbolic

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The heat kernel on asymptotically hyperbolic manifolds

Communications in Partial Differential Equations ◽

10.1080/03605302.2020.1750425 ◽

2020 ◽

Vol 45 (9) ◽

pp. 1031-1071

Author(s):

Xi Chen ◽

Andrew Hassell

Keyword(s):

Heat Kernel ◽

Hyperbolic Manifolds ◽

Asymptotically Hyperbolic Manifolds ◽

Asymptotically Hyperbolic

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Mass formulae for asymptotically hyperbolic manifolds

AdS/CFT Correspondence: Einstein Metrics and Their Conformal Boundaries ◽

10.4171/013-1/5 ◽

2009 ◽

pp. 103-121 ◽

Author(s):

Marc Herzlich

Keyword(s):

Hyperbolic Manifolds ◽

Asymptotically Hyperbolic Manifolds ◽

Asymptotically Hyperbolic

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