Liu, Lixin; Shi, Yaozhong A new compactification of Teichmüller space. (English) Zbl 1520.30066 Osaka J. Math. 60, No. 3, 683-700 (2023). MSC: 30F60 32G15 PDFBibTeX XMLCite \textit{L. Liu} and \textit{Y. Shi}, Osaka J. Math. 60, No. 3, 683--700 (2023; Zbl 1520.30066) Full Text: Link
Liu, Li Xin; Shi, Yao Zhong A new boundary of the mapping class group. (English) Zbl 1520.30065 Acta Math. Sin., Engl. Ser. 39, No. 5, 885-903 (2023). MSC: 30F60 32G15 PDFBibTeX XMLCite \textit{L. X. Liu} and \textit{Y. Z. Shi}, Acta Math. Sin., Engl. Ser. 39, No. 5, 885--903 (2023; Zbl 1520.30065) Full Text: DOI arXiv
Liu, Lixin; Shi, Yaozhong On the properties of various compactifications of Teichmüller space. (English) Zbl 1492.30092 Monatsh. Math. 198, No. 2, 371-391 (2022). MSC: 30F60 32G15 PDFBibTeX XMLCite \textit{L. Liu} and \textit{Y. Shi}, Monatsh. Math. 198, No. 2, 371--391 (2022; Zbl 1492.30092) Full Text: DOI
Liu, Lixin; Su, Weixu; Zhong, Youliang Distance and angles between Teichmüller geodesics. (English) Zbl 1439.32034 Adv. Math. 360, Article ID 106892, 21 p. (2020). Reviewer: Alastair Fletcher (Dekalb) MSC: 32G15 30F30 30F60 PDFBibTeX XMLCite \textit{L. Liu} et al., Adv. Math. 360, Article ID 106892, 21 p. (2020; Zbl 1439.32034) Full Text: DOI
Jiang, Manman; Liu, Lixin; Pan, Huiping Almost isometries between Teichmüller spaces. (English) Zbl 1390.32011 Ann. Acad. Sci. Fenn., Math. 43, No. 1, 365-380 (2018). MSC: 32G15 30F60 PDFBibTeX XMLCite \textit{M. Jiang} et al., Ann. Acad. Sci. Fenn., Math. 43, No. 1, 365--380 (2018; Zbl 1390.32011) Full Text: DOI arXiv Link
Chen, Qiyu; Liu, Lixin The arc metric on Teichmüller spaces of surfaces of infinite type with boundary. (English) Zbl 1387.32016 Osaka J. Math. 55, No. 1, 1-38 (2018). MSC: 32G15 30F60 PDFBibTeX XMLCite \textit{Q. Chen} and \textit{L. Liu}, Osaka J. Math. 55, No. 1, 1--38 (2018; Zbl 1387.32016) Full Text: arXiv Euclid
Alessandrini, D.; Liu, L.; Papadopoulos, A.; Su, W. The horofunction compactification of Teichmüller spaces of surfaces with boundary. (English) Zbl 1343.32008 Topology Appl. 208, 160-191 (2016). MSC: 32G15 30F30 30F60 PDFBibTeX XMLCite \textit{D. Alessandrini} et al., Topology Appl. 208, 160--191 (2016; Zbl 1343.32008) Full Text: DOI
Alessandrini, D.; Liu, L.; Papadopoulos, A.; Su, W. On the inclusion of the quasiconformal Teichmüller space into the length-spectrum Teichmüller space. (English) Zbl 1342.32011 Monatsh. Math. 179, No. 2, 165-189 (2016). MSC: 32G15 30F30 30F60 PDFBibTeX XMLCite \textit{D. Alessandrini} et al., Monatsh. Math. 179, No. 2, 165--189 (2016; Zbl 1342.32011) Full Text: DOI arXiv
Liu, Lixin; Su, Weixu; Zhong, Youliang On metrics defined by length spectra on Teichmüller spaces of surfaces with boundary. (English) Zbl 1353.32017 Ann. Acad. Sci. Fenn., Math. 40, No. 2, 617-644 (2015). Reviewer: Gou Nakamura (Toyota) MSC: 32G15 30F60 PDFBibTeX XMLCite \textit{L. Liu} et al., Ann. Acad. Sci. Fenn., Math. 40, No. 2, 617--644 (2015; Zbl 1353.32017) Full Text: DOI arXiv
Liu, Lixin; Su, Weixu The horofunction compactification of the Teichmüller metric. (English) Zbl 1314.30080 Papadopoulos, Athanase (ed.), Handbook of Teichmüller theory. Volume IV. European Mathematical Society (EMS) (ISBN 978-3-03719-117-0/hbk). IRMA Lectures in Mathematics and Theoretical Physics 19, 355-374 (2014). MSC: 30F60 32G15 PDFBibTeX XMLCite \textit{L. Liu} and \textit{W. Su}, IRMA Lect. Math. Theor. Phys. 19, 355--374 (2014; Zbl 1314.30080) Full Text: arXiv
Liu, Lixin; Shiga, Hiroshige; Sun, Zongliang Convex hull of set in thick part of Teichmüller space. (English) Zbl 1302.30057 Sci. China, Math. 57, No. 9, 1799-1810 (2014). MSC: 30F60 32G15 PDFBibTeX XMLCite \textit{L. Liu} et al., Sci. China, Math. 57, No. 9, 1799--1810 (2014; Zbl 1302.30057) Full Text: DOI
Liu, L.; Papadopoulos, A.; Su, W.; Théret, G. On the classification of mapping class actions on Thurston’s asymmetric metric. (English) Zbl 1290.32013 Math. Proc. Camb. Philos. Soc. 155, No. 3, 499-515 (2013). Reviewer: Toshihiro Nakanishi (Matsue) MSC: 32G15 30F60 57M50 PDFBibTeX XMLCite \textit{L. Liu} et al., Math. Proc. Camb. Philos. Soc. 155, No. 3, 499--515 (2013; Zbl 1290.32013) Full Text: DOI arXiv
Alessandrini, Daniele; Liu, Lixin; Papadopoulos, Athanase; Su, Weixu The behaviour of Fenchel-Nielsen distance under a change of pants decomposition. (English) Zbl 1272.30063 Commun. Anal. Geom. 20, No. 2, 369-395 (2012). MSC: 30F60 32G15 PDFBibTeX XMLCite \textit{D. Alessandrini} et al., Commun. Anal. Geom. 20, No. 2, 369--395 (2012; Zbl 1272.30063) Full Text: DOI arXiv
Alessandrini, Daniele; Liu, Lixin; Papadopoulos, A.; Su, Weixu On local comparison between various metrics on Teichmüller spaces. (English) Zbl 1262.32017 Geom. Dedicata 157, 91-110 (2012). Reviewer: Toshihiro Nakanishi (Matsue) MSC: 32G15 30F30 30F60 PDFBibTeX XMLCite \textit{D. Alessandrini} et al., Geom. Dedicata 157, 91--110 (2012; Zbl 1262.32017) Full Text: DOI arXiv
Alessandrini, Daniele; Liu, Lixin; Papadopoulos, Athanase; Su, Weixu On various Teichmüller spaces of a surface of infinite topological type. (English) Zbl 1252.32021 Proc. Am. Math. Soc. 140, No. 2, 561-574 (2012). Reviewer: Carlos Florentino (Lisboa) MSC: 32G15 30F30 30F60 PDFBibTeX XMLCite \textit{D. Alessandrini} et al., Proc. Am. Math. Soc. 140, No. 2, 561--574 (2012; Zbl 1252.32021) Full Text: DOI arXiv
Liu, Lixin; Su, Weixu Almost-isometry between Teichmüller metric and length-spectrum metric on moduli space. (English) Zbl 1235.32012 Bull. Lond. Math. Soc. 43, No. 6, 1181-1190 (2011). Reviewer: Alastair Fletcher (Coventry) MSC: 32G15 30F30 30F60 PDFBibTeX XMLCite \textit{L. Liu} and \textit{W. Su}, Bull. Lond. Math. Soc. 43, No. 6, 1181--1190 (2011; Zbl 1235.32012) Full Text: DOI arXiv
Alessandrini, Daniele; Liu, Lixin; Papadopoulos, Athanase; Su, Weixu; Sun, Zongliang On Fenchel-Nielsen coordinates on Teichmüller spaces of surfaces of infinite type. (English) Zbl 1235.32010 Ann. Acad. Sci. Fenn., Math. 36, No. 2, 621-659 (2011). Reviewer: Alastair Fletcher (Coventry) MSC: 32G15 30F30 30F60 PDFBibTeX XMLCite \textit{D. Alessandrini} et al., Ann. Acad. Sci. Fenn., Math. 36, No. 2, 621--659 (2011; Zbl 1235.32010) Full Text: DOI arXiv
Liu, Lixin; Papadopoulos, Athanase Some metrics on Teichmüller spaces of surfaces of infinite type. (English) Zbl 1260.32003 Trans. Am. Math. Soc. 363, No. 8, 4109-4134 (2011). Reviewer: V. V. Chueshev (Kemerovo) MSC: 32G15 30F30 30F60 PDFBibTeX XMLCite \textit{L. Liu} and \textit{A. Papadopoulos}, Trans. Am. Math. Soc. 363, No. 8, 4109--4134 (2011; Zbl 1260.32003) Full Text: DOI arXiv
Liu, Lixin; Papadopoulos, Athanase; Su, Weixu; Théret, Guillaume On length spectrum metrics and weak metrics on Teichmüller spaces of surfaces with boundary. (English) Zbl 1223.32013 Ann. Acad. Sci. Fenn., Math. 35, No. 1, 255-274 (2010). Reviewer: Yuliang Shen (Suzhou) MSC: 32G15 30F30 30F60 PDFBibTeX XMLCite \textit{L. Liu} et al., Ann. Acad. Sci. Fenn., Math. 35, No. 1, 255--274 (2010; Zbl 1223.32013) Full Text: DOI arXiv
Sun, Zongliang; Liu, Lixin Comparisons of metrics on Teichmüller space. (English) Zbl 1190.30031 Chin. Ann. Math., Ser. B 31, No. 1, 71-84 (2010). Reviewer: V. V. Chueshev (Kemerovo) MSC: 30F60 32G15 32F45 PDFBibTeX XMLCite \textit{Z. Sun} and \textit{L. Liu}, Chin. Ann. Math., Ser. B 31, No. 1, 71--84 (2010; Zbl 1190.30031) Full Text: DOI
Liu, Lixin; Sun, Zongliang; Wei, Hanbai Topological equivalence of metrics in Teichmüller space. (English) Zbl 1147.32014 Ann. Acad. Sci. Fenn., Math. 33, No. 1, 159-170 (2008). Reviewer: V. V. Chueshev (Kemerovo) MSC: 32G15 30F60 32F45 PDFBibTeX XMLCite \textit{L. Liu} et al., Ann. Acad. Sci. Fenn., Math. 33, No. 1, 159--170 (2008; Zbl 1147.32014) Full Text: EuDML
Liu, Lixin; Zhang, Chaohui A resolution of some mapping classes. (Chinese. English summary) Zbl 1131.30370 Acta Math. Sin., Chin. Ser. 50, No. 5, 1141-1150 (2007). MSC: 30F60 32G15 PDFBibTeX XMLCite \textit{L. Liu} and \textit{C. Zhang}, Acta Math. Sin., Chin. Ser. 50, No. 5, 1141--1150 (2007; Zbl 1131.30370)
Liu, Li-xin Topological structures of Teichmüller spaces. (English) Zbl 1093.30040 Acta Sci. Nat. Univ. Sunyatseni 44, No. 1, 9-12 (2005). Reviewer: Ernesto Girondo (Madrid) MSC: 30F60 32G15 PDFBibTeX XMLCite \textit{L.-x. Liu}, Acta Sci. Nat. Univ. Sunyatseni 44, No. 1, 9--12 (2005; Zbl 1093.30040)
Liu, Lixin Conjugate points at infinity in infinite dimensional Teichmüller spaces. (English) Zbl 1061.30042 Complex Variables, Theory Appl. 48, No. 12, 1071-1075 (2003). Reviewer: Vasily A. Chernecky (Odessa) MSC: 30F60 32G15 PDFBibTeX XMLCite \textit{L. Liu}, Complex Variables, Theory Appl. 48, No. 12, 1071--1075 (2003; Zbl 1061.30042) Full Text: DOI
Liu, Lixin On the metrics of length spectrum in Teichmüller space. (English. Chinese original) Zbl 0993.32011 Chin. J. Contemp. Math. 22, No. 1, 23-34 (2001); translation from Chin. Ann. Math., Ser. A 22, No. 1, 19-26 (2001). Reviewer: Na Jisheng (Beijing) MSC: 32G15 30F60 PDFBibTeX XMLCite \textit{L. Liu}, Chin. J. Contemp. Math. 22, No. 1, 19--26 (2001; Zbl 0993.32011); translation from Chin. Ann. Math., Ser. A 22, No. 1, 19--26 (2001)
Liu, Lixin; Yang, Xiaoming On some properties of infinite-dimensional Bers fiber space. (English) Zbl 1011.32008 Northeast. Math. J. 15, No. 2, 203-208 (1999). MSC: 32G15 30F40 PDFBibTeX XMLCite \textit{L. Liu} and \textit{X. Yang}, Northeast. Math. J. 15, No. 2, 203--208 (1999; Zbl 1011.32008)
Liu, Lixin On the lenth spectrums of non-compact Riemann surfaces. (English) Zbl 0924.32020 Ann. Acad. Sci. Fenn., Math. 24, No. 1, 11-22 (1999). Reviewer: L.Liu (Guangzhou) MSC: 32G15 PDFBibTeX XMLCite \textit{L. Liu}, Ann. Acad. Sci. Fenn., Math. 24, No. 1, 11--22 (1999; Zbl 0924.32020) Full Text: EuDML
Liu, Lixin The extremal length functions in Teichmüller spaces. (Chinese. English summary) Zbl 0804.30019 J. Fudan Univ., Nat. Sci. 33, No. 1, 83-90 (1994). Reviewer: Chen Jixiu (Shanghai) MSC: 30C75 30F60 32G15 PDFBibTeX XMLCite \textit{L. Liu}, J. Fudan Univ., Nat. Sci. 33, No. 1, 83--90 (1994; Zbl 0804.30019)