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[Publications<\/a> | Enseignement<\/a> | Conseils pour d\u00e9buter<\/a>]<\/p>\n

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Ma\u00eetre de conf\u00e9rences
\nInstitut Denis Poisson<\/a> CNRS UMR 7013
\nD\u00e9partement de math\u00e9matiques<\/a> de l’Universit\u00e9 de Tours<\/a>
\n\u00c9quipe de recherche : Analyse et G\u00e9om\u00e9trie<\/p>\n

Contact :<\/strong>
\nBureau : E2-2260
\nT\u00e9l\u00e9phone : (33)-2-47-36-71-55
\nEmail : romain.gicquaud[at]idpoisson.fr
\nAdresse postale :<\/strong>
\nInstitut Denis Poisson
\nUniversit\u00e9 de Tours
\nParc de Grandmont
\n37200 Tours, France<\/p>\n

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Publications :<\/h3>\n
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  1. R. Gicquaud, De l’\u00e9quation de prescription de courbure scalaire aux \u00e9quations de <\/em>contrainte en relativit\u00e9 g\u00e9n\u00e9rale sur une vari\u00e9t\u00e9 asymptotiquement hyperbolique<\/em>, J. Math. Pures Appl. (9) 94, No. 2, 200-227 (2010), arXiv<\/a>.<\/li>\n
  2. R. Gicquaud, Linearization stability of the Einstein constraint equations on an <\/em>asymptotically hyperbolic manifold<\/em>, J. Math. Phys. 51, No. 7, 072501, 14 p. (2010), arXiv<\/a>.<\/li>\n
  3. E. Bahuaud, R. Gicquaud, Conformal compactication of asymptotically locally <\/em>hyperbolic metrics<\/em>, J. Geom. Anal. 21, No. 4, 1085-1118 (2011), arXiv<\/a>.<\/li>\n
  4. M. Dahl, R. Gicquaud, E. Humbert, A limit equation associated to the solvability <\/em>of the vacuum Einstein constraint equations by using the conformal method<\/em>, Duke Math. J. 161, No. 14, 2669-2697 (2012), arXiv<\/a>.<\/li>\n
  5. R. Gicquaud, A. Sakovich, A large class of non-constant mean curvature solutions of the Einstein constraint equations on an asymptotically hyperbolic manifold<\/em>, Commun. Math. Phys. 310, No. 3, 705-763 (2012), arXiv<\/a>.<\/li>\n
  6. M. Dahl, R. Gicquaud, E. Humbert, A non-existence result for a generalization <\/em>of the equations of the conformal method in general relativity<\/em>, Classical Quantum Gravity 30, No. 7, Article ID 075004, 8 p. (2013), arXiv<\/a>.<\/li>\n
  7. M. Dahl, R. Gicquaud, A. Sakovich, Penrose type inequalities for asymptotically hyperbolic graphs<\/em>, Ann. Henri Poincar\u00e9 14, No. 5, 1135-1168 (2013), arXiv<\/a>.<\/li>\n
  8. R. Gicquaud, Conformal compactication of asymptotically locally hyperbolic metrics. II : Weakly ALH metrics<\/em>, Commun. Partial Dier. Equations 38, No. 7-9, 1313-1367 (2013), arXiv<\/a>.<\/li>\n
  9. R. Gicquaud, D. Ji, Y. Shi, On the asymptotic behavior of Einstein manifolds with an integral bound on the Weyl curvature<\/em>, Commun. Anal. Geom. 21, No. 5, 1081-1113 (2013), arXiv<\/a>.<\/li>\n
  10. M. Dahl, R. Gicquaud, A. Sakovich, Asymptotically hyperbolic manifolds with small mass<\/em>, Commun. Math. Phys. 325, No. 2, 757-801 (2014), arXiv<\/em><\/a>.<\/li>\n
  11. R. Gicquaud, Q. A. Ng\u00f4, A new point of view on the solutions to the Einstein constraint equations with arbitrary mean curvature and small TT-tensor<\/em>, Classical Quantum Gravity 31, No. 19, Article ID 195014, 20 p. (2014), arXiv<\/a>.<\/li>\n
  12. R. Gicquaud, T. C. Nguyen, Solutions to the Einstein-scalar eld constraint equations with a small TT-tensor<\/em>, Calc. Var. Partial Dier. Equ. 55, No. 2, Paper No. 29, 23 p. (2016), arXiv<\/a>.<\/li>\n
  13. R. Gicquaud, C. Huneau, Limit equation for vacuum Einstein constraints with <\/em>a translational Killing vector eld in the compact hyperbolic case<\/em>, J. Geom. Phys. 107, 175-186 (2016), arXiv<\/a>.<\/li>\n
  14. P. T. Chrusciel, R. Gicquaud, Bifurcating solutions of the Lichnerowicz equation<\/em>, Ann. Henri Poincar\u00e9 18, No. 2, 643-679 (2017), arXiv<\/a>.<\/li>\n
  15. R. Gicquaud, Solutions to the Einstein constraint equations with a small TT-tensor and vanishing Yamabe invariant<\/em>, Ann. Henri Poincar\u00e9 22, No. 7, 2407-2435 (2021), arXiv<\/a>.<\/li>\n
  16. R. Gicquaud, Existence of solutions to the Lichnerowicz equation : a new proof<\/em>, J. Math. Phys. 63, No. 2, Article ID 022501, 12 p. (2022), arXiv<\/a>.<\/li>\n
  17. R. Gicquaud, Prescribed non positive scalar curvature on asymptotically hyperbolic manifolds with application to the Lichnerowicz equation, accept\u00e9 pour publication \u00e0 Commun. Anal. Geom, arXiv<\/a>.<\/li>\n<\/ol>\n

    Pr\u00e9publications :<\/h3>\n
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    1. J. Cortier, M. Dahl, R. Gicquaud, Mass-like invariants for asymptotically hyperbolic metrics<\/em> (98 pages), arXiv<\/a>.<\/li>\n
    2. R. Gicquaud, What Uniqueness for the Holst-Nagy-Tsogtgerel–Maxwell Solutions to the Einstein Conformal Constraint Equations? <\/em>(21 pages), arXiv<\/a>.<\/li>\n<\/ol>\n

      Th\u00e8ses :<\/h3>\n