Biquard, Olivier; Gauduchon, Paul; LeBrun, Claude Gravitational Instantons, Weyl Curvature, and Conformally Kaehler Geometry. arXiv:2310.14387 Preprint, arXiv:2310.14387 [math.DG] (2023). MSC: 53C25 53C55 83C20 BibTeX Cite \textit{O. Biquard} et al., ``Gravitational Instantons, Weyl Curvature, and Conformally Kaehler Geometry'', Preprint, arXiv:2310.14387 [math.DG] (2023) Full Text: arXiv OA License
Albanese, Michael; LeBrun, Claude Kodaira Dimension and the Yamabe Problem, II. arXiv:2106.14333 Preprint, arXiv:2106.14333 [math.DG] (2021). MSC: 53C21 32J15 53C18 53C27 BibTeX Cite \textit{M. Albanese} and \textit{C. LeBrun}, ``Kodaira Dimension and the Yamabe Problem, II'', Preprint, arXiv:2106.14333 [math.DG] (2021) Full Text: arXiv OA License
Bishop, Christopher J.; LeBrun, Claude Anti-self-dual 4-manifolds, quasi-Fuchsian groups, and almost-Kähler geometry. (English) Zbl 1475.53030 Commun. Anal. Geom. 28, No. 4, 745-780 (2020). Reviewer: Qiongling Li (Tianjin) MSC: 53C07 58E15 57K40 PDFBibTeX XMLCite \textit{C. J. Bishop} and \textit{C. LeBrun}, Commun. Anal. Geom. 28, No. 4, 745--780 (2020; Zbl 1475.53030) Full Text: DOI arXiv
Hein, Hans-Joachim; LeBrun, Claude Mass in Kähler geometry. (English) Zbl 1352.53060 Commun. Math. Phys. 347, No. 1, 183-221 (2016). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53C55 53B35 53C80 53C21 53C23 PDFBibTeX XMLCite \textit{H.-J. Hein} and \textit{C. LeBrun}, Commun. Math. Phys. 347, No. 1, 183--221 (2016; Zbl 1352.53060) Full Text: DOI arXiv
Atiyah, Michael; Lebrun, Claude Curvature, cones and characteristic numbers. (English) Zbl 1273.53041 Math. Proc. Camb. Philos. Soc. 155, No. 1, 13-37 (2013). Reviewer: Jürgen Berndt (London) MSC: 53C25 57R20 PDFBibTeX XMLCite \textit{M. Atiyah} and \textit{C. Lebrun}, Math. Proc. Camb. Philos. Soc. 155, No. 1, 13--37 (2013; Zbl 1273.53041) Full Text: DOI arXiv
Lebrun, Claude; Mason, L. J. Zoll metrics, branched covers, and holomorphic disks. (English) Zbl 1234.53013 Commun. Anal. Geom. 18, No. 3, 475-502 (2010). Reviewer: Benjamin McKay (Cork) MSC: 53C22 32Q15 53B10 PDFBibTeX XMLCite \textit{C. Lebrun} and \textit{L. J. Mason}, Commun. Anal. Geom. 18, No. 3, 475--502 (2010; Zbl 1234.53013) Full Text: DOI arXiv
LeBrun, Claude; Mason, L. J. The Einstein-Weyl equations, scattering maps, and holomorphic disks. (English) Zbl 1176.53071 Math. Res. Lett. 16, No. 2-3, 291-301 (2009). Reviewer: Andrew Bucki (Edmond) MSC: 53C50 53C28 PDFBibTeX XMLCite \textit{C. LeBrun} and \textit{L. J. Mason}, Math. Res. Lett. 16, No. 2--3, 291--301 (2009; Zbl 1176.53071) Full Text: DOI arXiv
Chen, Xiuxiong; LeBrun, Claude; Weber, Brian On conformally Kähler, Einstein manifolds. (English) Zbl 1208.53072 J. Am. Math. Soc. 21, No. 4, 1137-1168 (2008). Reviewer: Bernd Kreußler (Limerick) MSC: 53C55 53C25 14J80 PDFBibTeX XMLCite \textit{X. Chen} et al., J. Am. Math. Soc. 21, No. 4, 1137--1168 (2008; Zbl 1208.53072) Full Text: DOI arXiv
Lebrun, Claude; Maskit, Bernard On optimal 4-dimensional metrics. (English) Zbl 1154.53027 J. Geom. Anal. 18, No. 2, 537-564 (2008). Reviewer: T. Okubo (Victoria) MSC: 53C25 30F40 53C20 PDFBibTeX XMLCite \textit{C. Lebrun} and \textit{B. Maskit}, J. Geom. Anal. 18, No. 2, 537--564 (2008; Zbl 1154.53027) Full Text: DOI arXiv
Akutagawa, Kazuo; Ishida, Masashi; LeBrun, Claude Perelman’s invariant, Ricci flow, and the Yamabe invariants of smooth manifolds. (English) Zbl 1184.53042 Arch. Math. 88, No. 1, 71-76 (2007). MSC: 53C21 58J50 PDFBibTeX XMLCite \textit{K. Akutagawa} et al., Arch. Math. 88, No. 1, 71--76 (2007; Zbl 1184.53042) Full Text: DOI arXiv
Lebrun, Claude; Mason, L. J. Nonlinear gravitons, null geodesics, and holomorphic disks. (English) Zbl 1113.53032 Duke Math. J. 136, No. 2, 205-273 (2007). Reviewer: Maido Rahula (Tartu) MSC: 53C28 83C60 14D21 53C07 PDFBibTeX XMLCite \textit{C. Lebrun} and \textit{L. J. Mason}, Duke Math. J. 136, No. 2, 205--273 (2007; Zbl 1113.53032) Full Text: DOI arXiv
Ishida, Masashi; LeBrun, Claude Curvature, connected sums, and Seiberg-Witten theory. (English) Zbl 1084.58501 Commun. Anal. Geom. 11, No. 5, 809-836 (2003). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58E11 58D17 57R20 53C25 PDFBibTeX XMLCite \textit{M. Ishida} and \textit{C. LeBrun}, Commun. Anal. Geom. 11, No. 5, 809--836 (2003; Zbl 1084.58501) Full Text: DOI arXiv
LeBrun, Claude; Mason, L. J. Zoll manifolds and complex surfaces. (English) Zbl 1070.53022 J. Differ. Geom. 61, No. 3, 453-535 (2002). MSC: 53C22 32J15 53C28 PDFBibTeX XMLCite \textit{C. LeBrun} and \textit{L. J. Mason}, J. Differ. Geom. 61, No. 3, 453--535 (2002; Zbl 1070.53022) Full Text: DOI arXiv
Ishida, Masashi; LeBrun, Claude Spin manifolds, Einstein metrics, and differential topology. (English) Zbl 1017.53045 Math. Res. Lett. 9, No. 2-3, 229-240 (2002). Reviewer: Maido Rahula (Tartu) MSC: 53C27 57R57 53C25 PDFBibTeX XMLCite \textit{M. Ishida} and \textit{C. LeBrun}, Math. Res. Lett. 9, No. 2--3, 229--240 (2002; Zbl 1017.53045) Full Text: DOI arXiv
LeBrun, Claude (ed.); Wang, McKenzie (ed.) Surveys in differential geometry. Vol. VI: Essays on Einstein manifolds. Lectures on geometry and topology, sponsored by Lehigh University’s Journal of Differential Geometry. (English) Zbl 0961.00021 Surveys in Differential Geometry. Supplement to the Journal of Differential Geometry. 6. Cambridge, MA: International Press. x, 423 p. (1999). MSC: 00B25 53-06 53C25 PDFBibTeX XMLCite \textit{C. LeBrun} (ed.) and \textit{M. Wang} (ed.), Surveys in differential geometry. Vol. VI: Essays on Einstein manifolds. Lectures on geometry and topology, sponsored by Lehigh University's Journal of Differential Geometry. Cambridge, MA: International Press (1999; Zbl 0961.00021) Full Text: Link
Gursky, Matthew J.; LeBrun, Claude On Einstein manifolds of positive sectional curvature. (English) Zbl 0967.53029 Ann. Global Anal. Geom. 17, No. 4, 315-328 (1999). Reviewer: Hasan Özekes (Muǧla) MSC: 53C25 PDFBibTeX XMLCite \textit{M. J. Gursky} and \textit{C. LeBrun}, Ann. Global Anal. Geom. 17, No. 4, 315--328 (1999; Zbl 0967.53029) Full Text: DOI arXiv
Gursky, Matthew J.; LeBrun, Claude Yamabe invariants and \(\text{spin}^c\) structures. (English) Zbl 0931.53019 Geom. Funct. Anal. 8, No. 6, 965-977 (1998). Reviewer: M.Anastasiei (Iaşi) MSC: 53C25 53C27 57M50 PDFBibTeX XMLCite \textit{M. J. Gursky} and \textit{C. LeBrun}, Geom. Funct. Anal. 8, No. 6, 965--977 (1998; Zbl 0931.53019) Full Text: DOI arXiv
Catanese, Fabrizio; LeBrun, Claude On the scalar curvature of Einstein manifolds. (English) Zbl 0907.53035 Math. Res. Lett. 4, No. 6, 843-854 (1997). Reviewer: K.Sekigawa (Niigata) MSC: 53C25 57R15 53C15 PDFBibTeX XMLCite \textit{F. Catanese} and \textit{C. LeBrun}, Math. Res. Lett. 4, No. 6, 843--854 (1997; Zbl 0907.53035) Full Text: DOI arXiv
LeBrun, Claude; Nayatani, Shin; Nitta, Takashi Self-dual manifolds with positive Ricci curvature. (English) Zbl 0868.53032 Math. Z. 224, No. 1, 49-63 (1997). MSC: 53C25 PDFBibTeX XMLCite \textit{C. LeBrun} et al., Math. Z. 224, No. 1, 49--63 (1997; Zbl 0868.53032) Full Text: DOI arXiv
Kim, Jongsu; LeBrun, Claude; Pontecorvo, Massimiliano Scalar-flat Kähler surfaces of all genera. (English) Zbl 0876.53044 J. Reine Angew. Math. 486, 69-95 (1997). MSC: 53C55 32J15 PDFBibTeX XMLCite \textit{J. Kim} et al., J. Reine Angew. Math. 486, 69--95 (1997; Zbl 0876.53044) Full Text: arXiv Crelle EuDML
LeBrun, Claude; Simanca, Santiago R. On Kähler surfaces of constant positive scalar curvature. (English) Zbl 0815.53075 J. Geom. Anal. 5, No. 1, 117-129 (1995). Reviewer: C.LeBrun (Stony Brook) MSC: 53C55 32J15 58E11 PDFBibTeX XMLCite \textit{C. LeBrun} and \textit{S. R. Simanca}, J. Geom. Anal. 5, No. 1, 117--129 (1995; Zbl 0815.53075) Full Text: DOI
LeBrun, Claude; Salamon, Simon Strong rigidity of positive quaternion-Kähler manifolds. (English) Zbl 0815.53078 Invent. Math. 118, No. 1, 109-132 (1994). Reviewer: N.Bokan (Beograd) MSC: 53C55 53C35 PDFBibTeX XMLCite \textit{C. LeBrun} and \textit{S. Salamon}, Invent. Math. 118, No. 1, 109--132 (1994; Zbl 0815.53078) Full Text: DOI EuDML
LeBrun, Claude; Singer, Michael A Kummer-type construction of self-dual 4-manifolds. (English) Zbl 0818.53034 Math. Ann. 300, No. 1, 165-180 (1994). Reviewer: T.Sasaki (Kobe) MSC: 53C07 53C55 32L25 32S30 PDFBibTeX XMLCite \textit{C. LeBrun} and \textit{M. Singer}, Math. Ann. 300, No. 1, 165--180 (1994; Zbl 0818.53034) Full Text: DOI EuDML
LeBrun, C.; Simanca, S. R. Extremal Kähler metrics and complex deformation theory. (English) Zbl 0801.53050 Geom. Funct. Anal. 4, No. 3, 298-336 (1994). MSC: 53C55 PDFBibTeX XMLCite \textit{C. LeBrun} and \textit{S. R. Simanca}, Geom. Funct. Anal. 4, No. 3, 298--336 (1994; Zbl 0801.53050) Full Text: DOI EuDML
LeBrun, Claude; Singer, Michael Existence and deformation theory for scalar-flat Kähler metrics on compact complex surfaces. (English) Zbl 0793.53067 Invent. Math. 112, No. 2, 273-313 (1993). Reviewer: N.Bokan (Beograd) MSC: 53C55 PDFBibTeX XMLCite \textit{C. LeBrun} and \textit{M. Singer}, Invent. Math. 112, No. 2, 273--313 (1993; Zbl 0793.53067) Full Text: DOI arXiv EuDML
LeBrun, C.; Poon, Y. S. Self-dual manifolds with symmetry. (English) Zbl 0790.53037 Greene, Robert (ed.) et al., Differential geometry. Part 2: Geometry in mathematical physics and related topics. Proceedings of a summer research institute, held at the University of California, Los Angeles, CA, USA, July 8-28, 1990. Providence, RI: American Mathematical Society. Proc. Symp. Pure Math. 54, Part 2, 365-377 (1993). MSC: 53C20 53C55 PDFBibTeX XMLCite \textit{C. LeBrun} and \textit{Y. S. Poon}, Proc. Symp. Pure Math. 54, 365--377 (1993; Zbl 0790.53037)
LeBrun, Claude; Simanca, Santiago R. On the Kähler classes of extremal metrics. (English) Zbl 0921.53032 Kotake, Takeshi (ed.) et al., Geometry and global analysis. Report of the 1st MSJ (Mathematical Society of Japan) International Research Institute, Sendai, Japan, July 12–23, 1993. Sendai: Tôhoku Univ., Mathematical Institute, 255-271 (1993). Reviewer: N.Blažić (Beograd) MSC: 53C55 PDFBibTeX XMLCite \textit{C. LeBrun} and \textit{S. R. Simanca}, in: Geometry and global analysis. Report of the 1st MSJ (Mathematical Society of Japan) International Research Institute, Sendai, Japan, July 12--23, 1993. Sendai: Tôhoku Univ., Mathematical Institute. 255--271 (1993; Zbl 0921.53032)
LeBrun, Claude; Poon, Yat-Sun Twistors, Kähler manifolds, and bimeromorphic geometry. II. (English) Zbl 0766.53051 J. Am. Math. Soc. 5, No. 2, 317-325 (1992). Reviewer: TH.Friedrich (Berlin) MSC: 53C55 14J35 32L25 PDFBibTeX XMLCite \textit{C. LeBrun} and \textit{Y.-S. Poon}, J. Am. Math. Soc. 5, No. 2, 317--325 (1992; Zbl 0766.53051) Full Text: DOI arXiv
Eastwood, Michael; LeBrun, Claude Fattening complex manifolds: Curvature and Kodaira-Spencer maps. (English) Zbl 0748.32017 J. Geom. Phys. 8, No. 1-4, 123-146 (1992). Reviewer: S.M.Ivashkovich (Bochum) MSC: 32L25 81R25 32G05 PDFBibTeX XMLCite \textit{M. Eastwood} and \textit{C. LeBrun}, J. Geom. Phys. 8, No. 1--4, 123--146 (1992; Zbl 0748.32017) Full Text: DOI
LeBrun, Claude; Poon, Yat-Sun; Wells, R. O. jun. Projective embeddings of complex supermanifolds. (English) Zbl 0693.58003 Commun. Math. Phys. 126, No. 3, 433-452 (1990). MSC: 58A50 83E30 PDFBibTeX XMLCite \textit{C. LeBrun} et al., Commun. Math. Phys. 126, No. 3, 433--452 (1990; Zbl 0693.58003) Full Text: DOI
Anderson, Michael T.; Kronheimer, Peter B.; LeBrun, Claude Complete Ricci-flat Kähler manifolds of infinite topological type. (English) Zbl 0734.53051 Commun. Math. Phys. 125, No. 4, 637-642 (1989). Reviewer: Bernd Wegner (Berlin) MSC: 53C55 58D27 32Q99 PDFBibTeX XMLCite \textit{M. T. Anderson} et al., Commun. Math. Phys. 125, No. 4, 637--642 (1989; Zbl 0734.53051) Full Text: DOI
LeBrun, Claude; Rothstein, Mitchell Moduli of super Riemann surfaces. (English) Zbl 0662.58008 Commun. Math. Phys. 117, No. 1, 159-176 (1988). MSC: 58A50 81T30 58C50 PDFBibTeX XMLCite \textit{C. LeBrun} and \textit{M. Rothstein}, Commun. Math. Phys. 117, No. 1, 159--176 (1988; Zbl 0662.58008) Full Text: DOI
Eastwood, Michael; LeBrun, Claude Thickening and supersymmetric extensions of complex manifolds. (English) Zbl 0619.53039 Am. J. Math. 108, 1177-1192 (1986). Reviewer: T.Ochiai MSC: 53C55 32Q99 53C05 PDFBibTeX XMLCite \textit{M. Eastwood} and \textit{C. LeBrun}, Am. J. Math. 108, 1177--1192 (1986; Zbl 0619.53039) Full Text: DOI