Akutagawa, Kazuo; Mondello, Ilaria Non-existence of Yamabe minimizers on singular spheres. (English) Zbl 07523363 J. Geom. Anal. 32, No. 7, Paper No. 194, 20 p. (2022). MSC: 53C18 53C21 PDF BibTeX XML Cite \textit{K. Akutagawa} and \textit{I. Mondello}, J. Geom. Anal. 32, No. 7, Paper No. 194, 20 p. (2022; Zbl 07523363) Full Text: DOI OpenURL
Han, Qing; Wang, Yue Boundary expansions for constant mean curvature surfaces in the hyperbolic space. (English) Zbl 07463811 Math. Z. 300, No. 1, 851-879 (2022). Reviewer: Ameth Ndiaye (Dakar) MSC: 53C42 53A35 PDF BibTeX XML Cite \textit{Q. Han} and \textit{Y. Wang}, Math. Z. 300, No. 1, 851--879 (2022; Zbl 07463811) Full Text: DOI arXiv OpenURL
Li, Gang Two flow approaches to the Loewner-Nirenberg problem on manifolds. (English) Zbl 1485.35362 J. Geom. Anal. 32, No. 1, Paper No. 7, 30 p. (2022). Reviewer: Ruobing Zhang (Stony Brook) MSC: 35R01 35A01 35J61 35K20 35K58 35B40 PDF BibTeX XML Cite \textit{G. Li}, J. Geom. Anal. 32, No. 1, Paper No. 7, 30 p. (2022; Zbl 1485.35362) Full Text: DOI arXiv OpenURL
Arias, Cesar; Gover, A. Rod; Waldron, Andrew Conformal geometry of embedded manifolds with boundary from universal holographic formulæ. (English) Zbl 07415142 Adv. Math. 384, Article ID 107700, 75 p. (2021). MSC: 53C18 53A55 53B25 53C21 53A10 53B50 53C80 PDF BibTeX XML Cite \textit{C. Arias} et al., Adv. Math. 384, Article ID 107700, 75 p. (2021; Zbl 07415142) Full Text: DOI arXiv OpenURL
Graham, C. Robin; Gursky, Matthew Chern-Gauss-Bonnet formula for singular Yamabe metrics in dimension four. (English) Zbl 07403314 Indiana Univ. Math. J. 70, No. 3, 1131-1166 (2021). Reviewer: Krishnan Shankar (Norman) MSC: 53C18 53C20 PDF BibTeX XML Cite \textit{C. R. Graham} and \textit{M. Gursky}, Indiana Univ. Math. J. 70, No. 3, 1131--1166 (2021; Zbl 07403314) Full Text: DOI arXiv OpenURL
Shen, Weiming; Wang, Yue Rigidity and gap theorems for Liouville’s equation. (English) Zbl 1473.35301 J. Funct. Anal. 281, No. 10, Article ID 109228, 29 p. (2021). MSC: 35J91 PDF BibTeX XML Cite \textit{W. Shen} and \textit{Y. Wang}, J. Funct. Anal. 281, No. 10, Article ID 109228, 29 p. (2021; Zbl 1473.35301) Full Text: DOI OpenURL
Wang, Yue Boundary expansions of complete conformal metrics with negative Ricci curvatures. (English) Zbl 1472.53042 Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 131, 24 p. (2021). MSC: 53C18 53C21 PDF BibTeX XML Cite \textit{Y. Wang}, Calc. Var. Partial Differ. Equ. 60, No. 4, Paper No. 131, 24 p. (2021; Zbl 1472.53042) Full Text: DOI arXiv OpenURL
Jiang, Xumin Boundary expansion for the Loewner-Nirenberg problem in domains with conic singularities. (English) Zbl 1468.35073 J. Funct. Anal. 281, No. 7, Article ID 109122, 41 p. (2021). MSC: 35J91 35B40 PDF BibTeX XML Cite \textit{X. Jiang}, J. Funct. Anal. 281, No. 7, Article ID 109122, 41 p. (2021; Zbl 1468.35073) Full Text: DOI arXiv OpenURL
Han, Qing; Shen, Weiming On the negativity of Ricci curvatures of complete conformal metrics. (English) Zbl 1468.53034 Peking Math. J. 4, No. 1, 83-117 (2021). MSC: 53C21 53C18 PDF BibTeX XML Cite \textit{Q. Han} and \textit{W. Shen}, Peking Math. J. 4, No. 1, 83--117 (2021; Zbl 1468.53034) Full Text: DOI arXiv OpenURL
Han, Qing; Shen, Weiming The Loewner-Nirenberg problem in singular domains. (English) Zbl 1448.35248 J. Funct. Anal. 279, No. 6, Article ID 108604, 42 p. (2020). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 35J91 PDF BibTeX XML Cite \textit{Q. Han} and \textit{W. Shen}, J. Funct. Anal. 279, No. 6, Article ID 108604, 42 p. (2020; Zbl 1448.35248) Full Text: DOI arXiv OpenURL
Chen, Youmin On expansions of Ricci flat ALE metrics in harmonic coordinates about the infinity. (English) Zbl 1436.32085 Commun. Math. Stat. 8, No. 1, 63-90 (2020). MSC: 32Q20 53C07 53C21 PDF BibTeX XML Cite \textit{Y. Chen}, Commun. Math. Stat. 8, No. 1, 63--90 (2020; Zbl 1436.32085) Full Text: DOI arXiv OpenURL
Jiang, Xumin; Xiao, Ling Optimal regularity of constant curvature graphs in hyperbolic space. (English) Zbl 1418.53067 Calc. Var. Partial Differ. Equ. 58, No. 4, Paper No. 133, 22 p. (2019). MSC: 53C42 53C21 35C20 35J60 58J05 PDF BibTeX XML Cite \textit{X. Jiang} and \textit{L. Xiao}, Calc. Var. Partial Differ. Equ. 58, No. 4, Paper No. 133, 22 p. (2019; Zbl 1418.53067) Full Text: DOI arXiv OpenURL
Glaros, Michael; Gover, A. Rod; Halbasch, Matthew; Waldron, Andrew Variational calculus for hypersurface functionals: singular Yamabe problem Willmore energies. (English) Zbl 1434.53061 J. Geom. Phys. 138, 168-193 (2019). MSC: 53C40 53C20 49Q10 PDF BibTeX XML Cite \textit{M. Glaros} et al., J. Geom. Phys. 138, 168--193 (2019; Zbl 1434.53061) Full Text: DOI OpenURL
González, María del Mar; Li, YanYan; Nguyen, Luc Existence and uniqueness to a fully nonlinear version of the Loewner-Nirenberg problem. (English) Zbl 1406.35122 Commun. Math. Stat. 6, No. 3, 269-288 (2018). MSC: 35J60 35J75 35A01 35A02 53A30 PDF BibTeX XML Cite \textit{M. d. M. González} et al., Commun. Math. Stat. 6, No. 3, 269--288 (2018; Zbl 1406.35122) Full Text: DOI arXiv OpenURL
Bettiol, Renato G.; Piccione, Paolo Infinitely many solutions to the Yamabe problem on noncompact manifolds. (Un nombre infini de solutions pour le problème de Yamabe sur les variétés non compactes.) (English. French summary) Zbl 1437.53023 Ann. Inst. Fourier 68, No. 2, 589-609 (2018). Reviewer: Fabio Santos (Rio de Janeiro) MSC: 53C21 35J60 58J55 58E11 58E15 PDF BibTeX XML Cite \textit{R. G. Bettiol} and \textit{P. Piccione}, Ann. Inst. Fourier 68, No. 2, 589--609 (2018; Zbl 1437.53023) Full Text: DOI arXiv OpenURL
Han, Qing; Shen, Weiming Boundary behaviors for Liouville’s equation in planar singular domains. (English) Zbl 1391.35118 J. Funct. Anal. 274, No. 6, 1790-1824 (2018). Reviewer: Andreas Kleefeld (Jülich) MSC: 35J05 PDF BibTeX XML Cite \textit{Q. Han} and \textit{W. Shen}, J. Funct. Anal. 274, No. 6, 1790--1824 (2018; Zbl 1391.35118) Full Text: DOI arXiv OpenURL
Gursky, Matthew J.; Han, Qing Non-existence of Poincaré-Einstein manifolds with prescribed conformal infinity. (English) Zbl 1379.53058 Geom. Funct. Anal. 27, No. 4, 863-879 (2017). Reviewer: Maria Falcitelli (Bari) MSC: 53C25 53C24 53C21 PDF BibTeX XML Cite \textit{M. J. Gursky} and \textit{Q. Han}, Geom. Funct. Anal. 27, No. 4, 863--879 (2017; Zbl 1379.53058) Full Text: DOI OpenURL
Gover, A. Rod; Waldron, Andrew Renormalized volume. (English) Zbl 1372.53037 Commun. Math. Phys. 354, No. 3, 1205-1244 (2017). Reviewer: Anthony D. Osborne (Keele) MSC: 53C20 53C80 PDF BibTeX XML Cite \textit{A. R. Gover} and \textit{A. Waldron}, Commun. Math. Phys. 354, No. 3, 1205--1244 (2017; Zbl 1372.53037) Full Text: DOI arXiv OpenURL
Dabkowski, Michael G.; Lock, Michael T. An equivalence of scalar curvatures on Hermitian manifolds. (English) Zbl 1362.53081 J. Geom. Anal. 27, No. 1, 239-270 (2017). MSC: 53C55 53C21 53A30 PDF BibTeX XML Cite \textit{M. G. Dabkowski} and \textit{M. T. Lock}, J. Geom. Anal. 27, No. 1, 239--270 (2017; Zbl 1362.53081) Full Text: DOI arXiv OpenURL
Jeffres, Thalia; Mazzeo, Rafe; Rubinstein, Yanir A. Kähler-Einstein metrics with edge singularities. (English) Zbl 1337.32037 Ann. Math. (2) 183, No. 1, 95-176 (2016). Reviewer: Antonella Nannicini (Firenze) MSC: 32Q20 53C55 PDF BibTeX XML Cite \textit{T. Jeffres} et al., Ann. Math. (2) 183, No. 1, 95--176 (2016; Zbl 1337.32037) Full Text: DOI arXiv OpenURL
Akutagawa, Kazuo; Carron, Gilles; Mazzeo, Rafe The Yamabe problem on stratified spaces. (English) Zbl 1310.53034 Geom. Funct. Anal. 24, No. 4, 1039-1079 (2014). Reviewer: Antonio Roberto da Silva (Rio de Janeiro) MSC: 53C21 58A35 58E11 PDF BibTeX XML Cite \textit{K. Akutagawa} et al., Geom. Funct. Anal. 24, No. 4, 1039--1079 (2014; Zbl 1310.53034) Full Text: DOI arXiv OpenURL
Li, Gang Constant \(Q\)-curvature metrics near the hyperbolic metric. (English) Zbl 1302.58012 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 3, 591-614 (2014). MSC: 58J45 53C44 PDF BibTeX XML Cite \textit{G. Li}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 31, No. 3, 591--614 (2014; Zbl 1302.58012) Full Text: DOI arXiv OpenURL
Felli, Veronica; Ferrero, Alberto; Terracini, Susanna A note on local asymptotics of solutions to singular elliptic equations via monotonicity methods. (English) Zbl 1272.35093 Milan J. Math. 80, No. 1, 203-226 (2012). Reviewer: Mihai Pascu (Bucureşti) MSC: 35J60 35B40 35J10 PDF BibTeX XML Cite \textit{V. Felli} et al., Milan J. Math. 80, No. 1, 203--226 (2012; Zbl 1272.35093) Full Text: DOI arXiv OpenURL
Rochon, Frédéric; Zhang, Zhou Asymptotics of complete Kähler metrics of finite volume on quasiprojective manifolds. (English) Zbl 1264.53066 Adv. Math. 231, No. 5, 2892-2952 (2012). Reviewer: Włodzimierz Jelonek (Kraków) MSC: 53C55 32Q20 53C44 14C20 PDF BibTeX XML Cite \textit{F. Rochon} and \textit{Z. Zhang}, Adv. Math. 231, No. 5, 2892--2952 (2012; Zbl 1264.53066) Full Text: DOI arXiv OpenURL
Bahuaud, Eric Ricci flow of conformally compact metrics. (English. French summary) Zbl 1235.53066 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 6, 813-835 (2011). Reviewer: Witold Mozgawa (Lublin) MSC: 53C44 58J35 35K40 35K59 PDF BibTeX XML Cite \textit{E. Bahuaud}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 6, 813--835 (2011; Zbl 1235.53066) Full Text: DOI arXiv OpenURL
Dindoš, Martin Large solutions for Yamabe and similar problems on domains in Riemannian manifolds. (English) Zbl 1225.35076 Trans. Am. Math. Soc. 363, No. 10, 5131-5178 (2011). MSC: 35J25 35J60 53C21 PDF BibTeX XML Cite \textit{M. Dindoš}, Trans. Am. Math. Soc. 363, No. 10, 5131--5178 (2011; Zbl 1225.35076) Full Text: DOI OpenURL
Biquard, Olivier; Mazzeo, Rafe A nonlinear Poisson transform for Einstein metrics on product spaces. (English) Zbl 1232.53039 J. Eur. Math. Soc. (JEMS) 13, No. 5, 1423-1475 (2011). Reviewer: Zbigniew Olszak (Wrocław) MSC: 53C25 53C35 58D27 PDF BibTeX XML Cite \textit{O. Biquard} and \textit{R. Mazzeo}, J. Eur. Math. Soc. (JEMS) 13, No. 5, 1423--1475 (2011; Zbl 1232.53039) Full Text: DOI arXiv OpenURL
Chang, Sun-Yung Alice; del Mar González, María Fractional Laplacian in conformal geometry. (English) Zbl 1214.26005 Adv. Math. 226, No. 2, 1410-1432 (2011). Reviewer: Nasser-eddine Tatar (Dhahran) MSC: 26A33 35R15 35S05 58J99 53C99 PDF BibTeX XML Cite \textit{S.-Y. A. Chang} and \textit{M. del Mar González}, Adv. Math. 226, No. 2, 1410--1432 (2011; Zbl 1214.26005) Full Text: DOI arXiv OpenURL
Santos, Almir Silva A construction of constant scalar curvature manifolds with Delaunay-type ends. (English) Zbl 1214.53034 Ann. Henri Poincaré 10, No. 8, 1487-1535 (2010). Reviewer: Marian Ioan Munteanu (East Lansing) MSC: 53C20 PDF BibTeX XML Cite \textit{A. S. Santos}, Ann. Henri Poincaré 10, No. 8, 1487--1535 (2010; Zbl 1214.53034) Full Text: DOI arXiv Link OpenURL
Helliwell, Dylan William Boundary regularity for conformally compact Einstein metrics in even dimensions. (English) Zbl 1145.53037 Commun. Partial Differ. Equations 33, No. 5, 842-880 (2008). MSC: 53C25 35J55 PDF BibTeX XML Cite \textit{D. W. Helliwell}, Commun. Partial Differ. Equations 33, No. 5, 842--880 (2008; Zbl 1145.53037) Full Text: DOI arXiv OpenURL
Marques, Fernando C. Isolated singularities of solutions to the Yamabe equation. (English) Zbl 1143.35323 Calc. Var. Partial Differ. Equ. 32, No. 3, 349-371 (2008). MSC: 35J60 35B40 58J60 35J20 PDF BibTeX XML Cite \textit{F. C. Marques}, Calc. Var. Partial Differ. Equ. 32, No. 3, 349--371 (2008; Zbl 1143.35323) Full Text: DOI OpenURL
Pisante, Adriano Hardy inequalities and dynamic instability of singular Yamabe metrics. (English) Zbl 1106.35028 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 23, No. 5, 591-628 (2006). MSC: 35K55 35K15 PDF BibTeX XML Cite \textit{A. Pisante}, Ann. Inst. Henri Poincaré, Anal. Non Linéaire 23, No. 5, 591--628 (2006; Zbl 1106.35028) Full Text: DOI Numdam EuDML OpenURL
Mazzeo, Rafe; Pacard, Frank Maskit combinations of Poincaré-Einstein metrics. (English) Zbl 1097.53029 Adv. Math. 204, No. 2, 379-412 (2006). Reviewer: D. Perrone (Lecce) MSC: 53C25 58J05 PDF BibTeX XML Cite \textit{R. Mazzeo} and \textit{F. Pacard}, Adv. Math. 204, No. 2, 379--412 (2006; Zbl 1097.53029) Full Text: DOI arXiv OpenURL
Zhang, Lei Refined asymptotic estimates for conformal scalar curvature equation via moving sphere method. (English) Zbl 1119.35326 J. Funct. Anal. 192, No. 2, 491-516 (2002). MSC: 35J60 35A25 35B05 35B45 35J65 PDF BibTeX XML Cite \textit{L. Zhang}, J. Funct. Anal. 192, No. 2, 491--516 (2002; Zbl 1119.35326) Full Text: DOI OpenURL
Mazzeo, Rafe; Taylor, Michael Curvature and uniformization. (English) Zbl 1003.30031 Isr. J. Math. 130, 323-346 (2002). Reviewer: Samuel James Patterson (Göttingen) MSC: 30F10 PDF BibTeX XML Cite \textit{R. Mazzeo} and \textit{M. Taylor}, Isr. J. Math. 130, 323--346 (2002; Zbl 1003.30031) Full Text: DOI arXiv OpenURL
Leung, Man Chun Boundedness of positive solutions of the conformal scalar curvature equation and positive scalar curvature. (English) Zbl 0997.53032 Commun. Partial Differ. Equations 26, No. 1-2, 285-293 (2001). Reviewer: Valery Borisovich Marenich (Kalmar) MSC: 53C21 58J05 35J60 PDF BibTeX XML Cite \textit{M. C. Leung}, Commun. Partial Differ. Equations 26, No. 1--2, 285--293 (2001; Zbl 0997.53032) Full Text: DOI OpenURL
Finn, David L. On the negative case of the singular Yamabe problem. (English) Zbl 1003.58020 J. Geom. Anal. 9, No. 1, 73-92 (1999). Reviewer: Christian Bär (Hamburg) MSC: 58J05 53C21 35J60 PDF BibTeX XML Cite \textit{D. L. Finn}, J. Geom. Anal. 9, No. 1, 73--92 (1999; Zbl 1003.58020) Full Text: DOI OpenURL
Mazzeo, Rafe; Pacard, Frank Constant scalar curvature metrics with isolated singularities. (English) Zbl 0945.53024 Duke Math. J. 99, No. 3, 353-418 (1999). Reviewer: John Urbas (Canberra) MSC: 53C21 58J60 PDF BibTeX XML Cite \textit{R. Mazzeo} and \textit{F. Pacard}, Duke Math. J. 99, No. 3, 353--418 (1999; Zbl 0945.53024) Full Text: DOI arXiv OpenURL
Finn, David L. On the negative case of the singular Yamabe problem. (English) Zbl 1006.53030 J. Geom. Anal. 9, No. 1, 73-92 (1999). MSC: 53C21 58J60 35J60 PDF BibTeX XML Full Text: DOI arXiv OpenURL
Mazzeo, Rafe; Pollack, Daniel; Uhlenbeck, Karen Moduli spaces of singular Yamabe metrics. (English) Zbl 0849.58012 J. Am. Math. Soc. 9, No. 2, 303-344 (1996). Reviewer: D.B.Gauld (Auckland) MSC: 58D27 PDF BibTeX XML Cite \textit{R. Mazzeo} et al., J. Am. Math. Soc. 9, No. 2, 303--344 (1996; Zbl 0849.58012) Full Text: DOI arXiv OpenURL
Andersson, Lars; Chruściel, Piotr T. Hyperboloidal Cauchy data for vacuum Einstein equations and obstructions to smoothness of null infinity. (English) Zbl 1051.83507 Phys. Rev. Lett. 70, No. 19, 2829-2832 (1993). MSC: 83C30 83C05 PDF BibTeX XML Cite \textit{L. Andersson} and \textit{P. T. Chruściel}, Phys. Rev. Lett. 70, No. 19, 2829--2832 (1993; Zbl 1051.83507) Full Text: DOI arXiv OpenURL
Andersson, Lars; Chruściel, Piotr T.; Friedrich, Helmut On the regularity of solutions to the Yamabe equation and the existence of smooth hyperboloidal initial data for Einstein’s field equations. (English) Zbl 0764.53027 Commun. Math. Phys. 149, No. 3, 587-612 (1992). Reviewer: R.Schimming (Greifswald) MSC: 53C20 83C05 58J05 PDF BibTeX XML Cite \textit{L. Andersson} et al., Commun. Math. Phys. 149, No. 3, 587--612 (1992; Zbl 0764.53027) Full Text: DOI OpenURL