Hao, Tianze; Hu, Yuhao; Liu, Peng; Shi, Yuguang Rigidity and non-rigidity of \(\mathbb{H}^n/\mathbb{Z}^{n-2}\) with scalar curvature bounded from below. (English) Zbl 1528.53044 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 083, 28 p. (2023). Reviewer: Petr M. Akhmet’ev (Moskva) MSC: 53C24 53C20 32Q45 PDFBibTeX XMLCite \textit{T. Hao} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 083, 28 p. (2023; Zbl 1528.53044) Full Text: DOI arXiv
Shi, Yuguang; Wang, Wenlong; Wei, Guodong Total mean curvature of the boundary and nonnegative scalar curvature fill-ins. (English) Zbl 07502527 J. Reine Angew. Math. 784, 215-250 (2022). Reviewer: Chao Xia (Xiamen) MSC: 53C20 53C21 PDFBibTeX XMLCite \textit{Y. Shi} et al., J. Reine Angew. Math. 784, 215--250 (2022; Zbl 07502527) Full Text: DOI arXiv
Bo, Leyang; Shi, Yuguang Nonexistence of the NNSC-cobordism of Bartnik data. (English) Zbl 1470.53034 Sci. China, Math. 64, No. 7, 1357-1372 (2021). MSC: 53C20 57R90 PDFBibTeX XMLCite \textit{L. Bo} and \textit{Y. Shi}, Sci. China, Math. 64, No. 7, 1357--1372 (2021; Zbl 1470.53034) Full Text: DOI arXiv
Shi, Yuguang; Zhu, Jintian Regularity of inverse mean curvature flow in asymptotically hyperbolic manifolds with dimension 3. (English) Zbl 1470.53079 Sci. China, Math. 64, No. 6, 1109-1126 (2021). MSC: 53E10 53C20 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{J. Zhu}, Sci. China, Math. 64, No. 6, 1109--1126 (2021; Zbl 1470.53079) Full Text: DOI arXiv
Shi, Yuguang; Wang, Wenlong; Wei, Guodong; Zhu, Jintian On the fill-in of nonnegative scalar curvature metrics. (English) Zbl 1464.53048 Math. Ann. 379, No. 1-2, 235-270 (2021). MSC: 53C20 83C99 PDFBibTeX XMLCite \textit{Y. Shi} et al., Math. Ann. 379, No. 1--2, 235--270 (2021; Zbl 1464.53048) Full Text: DOI arXiv
Hu, Xue; Shi, Yuguang NNSC-cobordism of Bartnik data in high dimensions. (English) Zbl 1440.53041 SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 030, 5 p. (2020). Reviewer: Andreas Arvanitoyeorgos (Patras) MSC: 53C20 57N70 PDFBibTeX XMLCite \textit{X. Hu} and \textit{Y. Shi}, SIGMA, Symmetry Integrability Geom. Methods Appl. 16, Paper 030, 5 p. (2020; Zbl 1440.53041) Full Text: DOI arXiv
Chodosh, Otis; Eichmair, Michael; Shi, Yuguang; Zhu, Jintian Characterization of large isoperimetric regions in asymptotically hyperbolic initial data. (English) Zbl 1416.53032 Commun. Math. Phys. 368, No. 2, 777-798 (2019). Reviewer: Mihail Banaru (Smolensk) MSC: 53C20 53C42 PDFBibTeX XMLCite \textit{O. Chodosh} et al., Commun. Math. Phys. 368, No. 2, 777--798 (2019; Zbl 1416.53032) Full Text: DOI arXiv
Shi, Yuguang; Wang, Wenlong; Yu, Haobin On the rigidity of Riemannian-Penrose inequality for asymptotically flat 3-manifolds with corners. (English) Zbl 1423.53043 Math. Z. 291, No. 1-2, 569-589 (2019). Reviewer: Cihan Özgür (Balikesir) MSC: 53C20 83C99 PDFBibTeX XMLCite \textit{Y. Shi} et al., Math. Z. 291, No. 1--2, 569--589 (2019; Zbl 1423.53043) Full Text: DOI arXiv
Shi, Yuguang; Sun, Jiacheng; Tian, Gang; Wei, Dongyi Uniqueness of the mean field equation and rigidity of Hawking mass. (English) Zbl 1414.35092 Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 41, 16 p. (2019). Reviewer: Andreas Kleefeld (Jülich) MSC: 35J91 35J20 PDFBibTeX XMLCite \textit{Y. Shi} et al., Calc. Var. Partial Differ. Equ. 58, No. 2, Paper No. 41, 16 p. (2019; Zbl 1414.35092) Full Text: DOI arXiv
Shi, Yuguang; Tam, Luen-Fai Scalar curvature and singular metrics. (English) Zbl 1417.53041 Pac. J. Math. 293, No. 2, 427-470 (2018). MSC: 53C20 83C99 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{L.-F. Tam}, Pac. J. Math. 293, No. 2, 427--470 (2018; Zbl 1417.53041) Full Text: DOI arXiv
Li, Gang; Qing, Jie; Shi, Yuguang Gap phenomena and curvature estimates for conformally compact Einstein manifolds. (English) Zbl 1364.53048 Trans. Am. Math. Soc. 369, No. 6, 4385-4413 (2017). Reviewer: Corina Mohorianu (Iaşi) MSC: 53C25 58J05 PDFBibTeX XMLCite \textit{G. Li} et al., Trans. Am. Math. Soc. 369, No. 6, 4385--4413 (2017; Zbl 1364.53048) Full Text: DOI arXiv
Hu, Xue; Ji, Dandan; Shi, Yuguang Volume comparison of conformally compact manifolds with scalar curvature \(R\geq -n(n-1)\). (English. French summary) Zbl 1338.53071 Ann. Henri Poincaré 17, No. 4, 953-977 (2016). Reviewer: Constantin Călin (Iaşi) MSC: 53C25 53A30 PDFBibTeX XMLCite \textit{X. Hu} et al., Ann. Henri Poincaré 17, No. 4, 953--977 (2016; Zbl 1338.53071) Full Text: DOI arXiv
Bao, Chao; Shi, Yuguang Gauss maps of translating solitons of mean curvature flow. (English) Zbl 1303.53087 Proc. Am. Math. Soc. 142, No. 12, 4333-4339 (2014). MSC: 53C44 58J05 PDFBibTeX XMLCite \textit{C. Bao} and \textit{Y. Shi}, Proc. Am. Math. Soc. 142, No. 12, 4333--4339 (2014; Zbl 1303.53087) Full Text: DOI arXiv
Qing, Jie; Shi, Yuguang; Wu, Jie Normalized Ricci flows and conformally compact Einstein metrics. (English) Zbl 1259.53046 Calc. Var. Partial Differ. Equ. 46, No. 1-2, 183-211 (2013). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 53C25 58J05 PDFBibTeX XMLCite \textit{J. Qing} et al., Calc. Var. Partial Differ. Equ. 46, No. 1--2, 183--211 (2013; Zbl 1259.53046) Full Text: DOI arXiv
Hu, Xue; Shi, YuGuang Static flow on complete noncompact manifolds. I: Short-time existence and asymptotic expansions at conformal infinity. (English) Zbl 1271.53046 Sci. China, Math. 55, No. 9, 1883-1900 (2012). Reviewer: Volker Perlick (Lancaster) MSC: 53C25 83C05 53C50 PDFBibTeX XMLCite \textit{X. Hu} and \textit{Y. Shi}, Sci. China, Math. 55, No. 9, 1883--1900 (2012; Zbl 1271.53046) Full Text: DOI arXiv
Hu, Xue; Qing, Jie; Shi, Yuguang Regularity and rigidity of asymptotically hyperbolic manifolds. (English) Zbl 1252.53044 Adv. Math. 230, No. 4-6, 2332-2363 (2012). Reviewer: Alessandro De Paris (Napoli) MSC: 53C21 53C24 58J05 35B65 PDFBibTeX XMLCite \textit{X. Hu} et al., Adv. Math. 230, No. 4--6, 2332--2363 (2012; Zbl 1252.53044) Full Text: DOI arXiv
Miao, Pengzi; Shi, Yuguang; Tam, Luen-Fai On geometric problems related to Brown-York and Liu-Yau quasilocal mass. (English) Zbl 1200.58018 Commun. Math. Phys. 298, No. 2, 437-459 (2010). MSC: 58E50 58E05 83C99 53Z05 PDFBibTeX XMLCite \textit{P. Miao} et al., Commun. Math. Phys. 298, No. 2, 437--459 (2010; Zbl 1200.58018) Full Text: DOI arXiv
Shi, Yuguang; Wang, Guofang; Wu, Jie On the behavior of quasi-local mass at the infinity along nearly round surfaces. (English) Zbl 1183.53033 Ann. Global Anal. Geom. 36, No. 4, 419-441 (2009). Reviewer: A. D. Osborne (Keele) MSC: 53C20 83C99 53C50 PDFBibTeX XMLCite \textit{Y. Shi} et al., Ann. Global Anal. Geom. 36, No. 4, 419--441 (2009; Zbl 1183.53033) Full Text: DOI arXiv
Li, Zhenyang; Shi, Yuguang; Wu, Peng Asymptotically hyperbolic metrics on a unit ball admitting multiple horizons. (English) Zbl 1151.83023 Proc. Am. Math. Soc. 136, No. 11, 4003-4010 (2008). MSC: 83C57 53C44 PDFBibTeX XMLCite \textit{Z. Li} et al., Proc. Am. Math. Soc. 136, No. 11, 4003--4010 (2008; Zbl 1151.83023) Full Text: DOI arXiv
Shi, Yuguang; Tam, Luen-Fai Quasi-local mass and the existence of horizons. (English) Zbl 1206.83069 Commun. Math. Phys. 274, No. 2, 277-295 (2007). MSC: 83C40 53Z05 83C57 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{L.-F. Tam}, Commun. Math. Phys. 274, No. 2, 277--295 (2007; Zbl 1206.83069) Full Text: DOI arXiv
Shi, Yuguang; Tam, Luen-Fai Asymptotically hyperbolic metrics on the unit ball with horizons. (English) Zbl 1136.83028 Manuscr. Math. 122, No. 1, 97-117 (2007). MSC: 83C57 53C44 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{L.-F. Tam}, Manuscr. Math. 122, No. 1, 97--117 (2007; Zbl 1136.83028) Full Text: DOI arXiv
Mo, Xiaohuan; Shi, Yuguang A non-existence theorem of proper harmonic morphisms from weakly asymptotically hyperbolic manifolds. (English) Zbl 1119.53047 Tohoku Math. J. (2) 58, No. 3, 359-368 (2006). Reviewer: Ye-Lin Ou (Commerce) MSC: 53C55 58E20 53C43 PDFBibTeX XMLCite \textit{X. Mo} and \textit{Y. Shi}, Tôhoku Math. J. (2) 58, No. 3, 359--368 (2006; Zbl 1119.53047) Full Text: DOI
Shi, Yuguang; Tian, Gang Rigidity of asymptotically hyperbolic manifolds. (English) Zbl 1092.53033 Commun. Math. Phys. 259, No. 3, 545-559 (2005). Reviewer: Anatoliy Milka (Kharkov) MSC: 53C24 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{G. Tian}, Commun. Math. Phys. 259, No. 3, 545--559 (2005; Zbl 1092.53033) Full Text: DOI arXiv
Shi, Yuguang; Tam, Luen-Fai Quasi-spherical metrics and applications. (English) Zbl 1074.53033 Commun. Math. Phys. 250, No. 1, 65-80 (2004). Reviewer: Maria Falcitelli (Bari) MSC: 53C21 53C20 53C27 PDFBibTeX XMLCite \textit{Y. Shi} and \textit{L.-F. Tam}, Commun. Math. Phys. 250, No. 1, 65--80 (2004; Zbl 1074.53033) Full Text: DOI
Ni, Lei; Shi, Yuguang; Tam, Luen-Fai Ricci flatness of asymptotically locally Euclidean metrics. (English) Zbl 1043.53057 Trans. Am. Math. Soc. 355, No. 5, 1933-1959 (2003). Reviewer: Thalia D. Jeffres (Morelia) MSC: 53C55 32Q15 PDFBibTeX XMLCite \textit{L. Ni} et al., Trans. Am. Math. Soc. 355, No. 5, 1933--1959 (2003; Zbl 1043.53057) Full Text: DOI
Shi, Yuguang On the construction of some new harmonic maps from \(\mathbb{R}^m\) to \(\mathbb{H}^m\). (English) Zbl 0989.58004 Acta Math. Sin., Engl. Ser. 17, No. 2, 301-304 (2001). Reviewer: Vladimir Balan (Bucureşti) MSC: 58E20 58D19 PDFBibTeX XMLCite \textit{Y. Shi}, Acta Math. Sin., Engl. Ser. 17, No. 2, 301--304 (2001; Zbl 0989.58004) Full Text: DOI