Lahdili, Abdellah Convexity of the weighted Mabuchi functional and the uniqueness of weighted extremal metrics. (English) Zbl 1526.53068 Math. Res. Lett. 30, No. 2, 541-576 (2023). Reviewer: Neda Bokan (Beograd) MSC: 53C55 32Q15 53C21 58J60 PDFBibTeX XMLCite \textit{A. Lahdili}, Math. Res. Lett. 30, No. 2, 541--576 (2023; Zbl 1526.53068) Full Text: DOI arXiv
Chiose, Ionuţ; Toma, Matei Positive currents on non-Kählerian surfaces. (English) Zbl 07738725 Math. Res. Lett. 30, No. 2, 375-412 (2023). MSC: 81-03 53B35 14J20 PDFBibTeX XMLCite \textit{I. Chiose} and \textit{M. Toma}, Math. Res. Lett. 30, No. 2, 375--412 (2023; Zbl 07738725) Full Text: DOI arXiv
Sektnan, Lars Martin Blowing up extremal Poincaré type manifolds. (English) Zbl 07700304 Math. Res. Lett. 30, No. 1, 185-238 (2023). MSC: 53C55 32Q15 PDFBibTeX XMLCite \textit{L. M. Sektnan}, Math. Res. Lett. 30, No. 1, 185--238 (2023; Zbl 07700304) Full Text: DOI arXiv
Lee, Man-Chun; Li, Ka-Fai Deformation of Hermitian metrics. (English) Zbl 1515.53067 Math. Res. Lett. 29, No. 5, 1485-1497 (2022). Reviewer: Mihail Banaru (Smolensk) MSC: 53C55 32Q57 PDFBibTeX XMLCite \textit{M.-C. Lee} and \textit{K.-F. Li}, Math. Res. Lett. 29, No. 5, 1485--1497 (2022; Zbl 1515.53067) Full Text: DOI arXiv
Lempert, László The principle of least action in the space of Kähler potentials. (English) Zbl 1514.53113 Math. Res. Lett. 29, No. 3, 785-834 (2022). Reviewer: Nicolina Istrati (Tel Aviv) MSC: 53C55 53C60 53C15 53C22 32U05 32Q15 PDFBibTeX XMLCite \textit{L. Lempert}, Math. Res. Lett. 29, No. 3, 785--834 (2022; Zbl 1514.53113) Full Text: DOI arXiv
Bedulli, Lucio; Vezzoni, Luigi On the stability of the anomaly flow. (English) Zbl 1507.14058 Math. Res. Lett. 29, No. 2, 323-338 (2022). Reviewer: Sébastien Picard (Vancouver) MSC: 14J32 32Q25 53E30 53C55 PDFBibTeX XMLCite \textit{L. Bedulli} and \textit{L. Vezzoni}, Math. Res. Lett. 29, No. 2, 323--338 (2022; Zbl 1507.14058) Full Text: DOI arXiv
Shen, Xi Sisi Estimates for metrics of constant Chern scalar curvature. (English) Zbl 1498.53097 Math. Res. Lett. 28, No. 5, 1525-1550 (2021). MSC: 53C55 PDFBibTeX XMLCite \textit{X. S. Shen}, Math. Res. Lett. 28, No. 5, 1525--1550 (2021; Zbl 1498.53097) Full Text: DOI arXiv
LeBrun, Claude Einstein manifolds, self-dual Weyl curvature, and conformally Kähler geometry. (English) Zbl 1480.53081 Math. Res. Lett. 28, No. 1, 127-144 (2021). Reviewer: Gabriela Paola Ovando (Rosario) MSC: 53C55 32Q20 53C25 PDFBibTeX XMLCite \textit{C. LeBrun}, Math. Res. Lett. 28, No. 1, 127--144 (2021; Zbl 1480.53081) Full Text: DOI arXiv
Apostolov, Vestislav; Calderbank, David M. J.; Gauduchon, Paul; Legendre, Eveline Levi-Kähler reduction of CR structures, products of spheres, and toric geometry. (English) Zbl 1467.53072 Math. Res. Lett. 27, No. 6, 1565-1629 (2020). Reviewer: Martin Chuaqui Farrú (Santiago de Chile) MSC: 53C55 14M25 32Q15 32V05 PDFBibTeX XMLCite \textit{V. Apostolov} et al., Math. Res. Lett. 27, No. 6, 1565--1629 (2020; Zbl 1467.53072) Full Text: DOI arXiv
Sun, Jun; Sun, Linlin Sphere theorems for submanifolds in Kähler manifold. (English) Zbl 1464.53079 Math. Res. Lett. 27, No. 4, 1195-1236 (2020). MSC: 53C40 53C55 PDFBibTeX XMLCite \textit{J. Sun} and \textit{L. Sun}, Math. Res. Lett. 27, No. 4, 1195--1236 (2020; Zbl 1464.53079) Full Text: DOI arXiv
Sena-Dias, Rosa Critical Kähler toric metrics for the invariant first eigenvalue. (English) Zbl 1430.58024 Math. Res. Lett. 26, No. 3, 851-873 (2019). Reviewer: Peter B. Gilkey (Eugene) MSC: 58J50 58J53 53C55 14M25 PDFBibTeX XMLCite \textit{R. Sena-Dias}, Math. Res. Lett. 26, No. 3, 851--873 (2019; Zbl 1430.58024) Full Text: DOI arXiv
Tosatti, Valentino Regularity of envelopes in Kähler classes. (English) Zbl 1397.32005 Math. Res. Lett. 25, No. 1, 281-289 (2018). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 32J27 32Q15 53C55 PDFBibTeX XMLCite \textit{V. Tosatti}, Math. Res. Lett. 25, No. 1, 281--289 (2018; Zbl 1397.32005) Full Text: DOI arXiv
Nie, Xiaolan Weak solutions of the Chern-Ricci flow on compact complex surfaces. (English) Zbl 1393.53064 Math. Res. Lett. 24, No. 6, 1819-1844 (2017). MSC: 53C44 32Q15 53C55 PDFBibTeX XMLCite \textit{X. Nie}, Math. Res. Lett. 24, No. 6, 1819--1844 (2017; Zbl 1393.53064) Full Text: DOI arXiv
Angella, Daniele; Calamai, Simone; Spotti, Cristiano On the Chern-Yamabe problem. (English) Zbl 1388.53022 Math. Res. Lett. 24, No. 3, 645-677 (2017). MSC: 53B35 53A30 53C56 PDFBibTeX XMLCite \textit{D. Angella} et al., Math. Res. Lett. 24, No. 3, 645--677 (2017; Zbl 1388.53022) Full Text: DOI arXiv
Hall, Stuart J.; Murphy, Thomas Bounding the first invariant eigenvalue of toric Kähler manifolds. (English) Zbl 1388.53075 Math. Res. Lett. 24, No. 1, 67-81 (2017). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53C55 58C40 14M25 32Q15 58E11 PDFBibTeX XMLCite \textit{S. J. Hall} and \textit{T. Murphy}, Math. Res. Lett. 24, No. 1, 67--81 (2017; Zbl 1388.53075) Full Text: DOI arXiv
Yang, Xiaokui Hermitian manifolds with semi-positive holomorphic sectional curvature. (English) Zbl 1354.32016 Math. Res. Lett. 23, No. 3, 939-952 (2016). MSC: 32Q15 53C55 PDFBibTeX XMLCite \textit{X. Yang}, Math. Res. Lett. 23, No. 3, 939--952 (2016; Zbl 1354.32016) Full Text: DOI arXiv
Datar, Ved V. On convexity of the regular set of conical Kähler-Einstein metrics. (English) Zbl 1344.53052 Math. Res. Lett. 23, No. 1, 105-126 (2016). MSC: 53C55 32Q20 PDFBibTeX XMLCite \textit{V. V. Datar}, Math. Res. Lett. 23, No. 1, 105--126 (2016; Zbl 1344.53052) Full Text: DOI arXiv
Apostolov, Vestislav; Bailey, Michael; Dloussky, Georges From locally conformally Kähler to bi-Hermitian structures on non-Kähler complex surfaces. (English) Zbl 1325.32022 Math. Res. Lett. 22, No. 2, 317-336 (2015). Reviewer: Antonella Nannicini (Firenze) MSC: 32Q15 53D18 32G05 53C55 PDFBibTeX XMLCite \textit{V. Apostolov} et al., Math. Res. Lett. 22, No. 2, 317--336 (2015; Zbl 1325.32022) Full Text: DOI arXiv
Lin, Hsueh-Yung Compact Kähler threefolds with non-nef canonical bundle and symplectic geometry. (English) Zbl 1317.32031 Math. Res. Lett. 21, No. 6, 1341-1352 (2014). MSC: 32J17 32J27 53C55 32L05 PDFBibTeX XMLCite \textit{H.-Y. Lin}, Math. Res. Lett. 21, No. 6, 1341--1352 (2014; Zbl 1317.32031) Full Text: DOI arXiv
Liu, Kefeng; Yang, Xiaokui Hermitian harmonic maps and non-degenerate curvatures. (English) Zbl 1315.53080 Math. Res. Lett. 21, No. 4, 831-862 (2014). Reviewer: Gabriel Eduard Vilcu (Ploieşti) MSC: 53C55 58E20 53C43 PDFBibTeX XMLCite \textit{K. Liu} and \textit{X. Yang}, Math. Res. Lett. 21, No. 4, 831--862 (2014; Zbl 1315.53080) Full Text: DOI arXiv
Huang, Hongnian A splitting theorem on toric manifolds. (English) Zbl 1288.53071 Math. Res. Lett. 20, No. 2, 273-278 (2013). Reviewer: Carl Tipler (Brest) MSC: 53C55 32Q15 PDFBibTeX XMLCite \textit{H. Huang}, Math. Res. Lett. 20, No. 2, 273--278 (2013; Zbl 1288.53071) Full Text: DOI arXiv Link
Darvas, Tamás; Lempert, László Weak geodesics in the space of Kähler metrics. (English) Zbl 1275.58008 Math. Res. Lett. 19, No. 5, 1127-1135 (2012). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58D17 53C55 58B20 32Q15 PDFBibTeX XMLCite \textit{T. Darvas} and \textit{L. Lempert}, Math. Res. Lett. 19, No. 5, 1127--1135 (2012; Zbl 1275.58008) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Oeljeklaus-Toma manifolds admitting no complex subvarieties. (English) Zbl 1272.53060 Math. Res. Lett. 18, No. 4, 747-754 (2011). MSC: 53C55 32Q15 53C56 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Math. Res. Lett. 18, No. 4, 747--754 (2011; Zbl 1272.53060) Full Text: DOI arXiv
Zhang, Zhenlei Kähler Ricci flow on Fano manifolds with vanished Futaki invariants. (English) Zbl 1238.53045 Math. Res. Lett. 18, No. 5, 969-982 (2011). MSC: 53C44 53C55 32Q20 14J45 PDFBibTeX XMLCite \textit{Z. Zhang}, Math. Res. Lett. 18, No. 5, 969--982 (2011; Zbl 1238.53045) Full Text: DOI arXiv
Lejmi, Mehdi Stability under deformations of extremal almost-Kähler metrics in dimension 4. (English) Zbl 1223.53057 Math. Res. Lett. 17, No. 4, 601-612 (2010). Reviewer: Shigeyasu Kamiya (Okayama) MSC: 53C55 53C15 32Q60 PDFBibTeX XMLCite \textit{M. Lejmi}, Math. Res. Lett. 17, No. 4, 601--612 (2010; Zbl 1223.53057) Full Text: DOI arXiv
Chen, Xiuxiong; He, Weiyong The Calabi flow on toric Fano surfaces. (English) Zbl 1221.53103 Math. Res. Lett. 17, No. 2, 231-241 (2010). Reviewer: A. Arvanitoyeorgos (Patras) MSC: 53C55 32Q25 PDFBibTeX XMLCite \textit{X. Chen} and \textit{W. He}, Math. Res. Lett. 17, No. 2, 231--241 (2010; Zbl 1221.53103) Full Text: DOI arXiv
Cao, Huai-Dong; Zhu, Meng A note on compact Kähler-Ricci flow with positive bisectional curvature. (English) Zbl 1193.53141 Math. Res. Lett. 16, No. 5-6, 935-939 (2009). Reviewer: Witold Mozgawa (Lublin) MSC: 53C44 53C55 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{M. Zhu}, Math. Res. Lett. 16, No. 5--6, 935--939 (2009; Zbl 1193.53141) Full Text: DOI arXiv
Apostolov, Vestislav; Dloussky, Georges Bihermitian metrics on Hopf surfaces. (English) Zbl 1162.53053 Math. Res. Lett. 15, No. 5-6, 827-839 (2008). Reviewer: Gabriela Paola Ovando (Freiburg) MSC: 53C55 53C56 PDFBibTeX XMLCite \textit{V. Apostolov} and \textit{G. Dloussky}, Math. Res. Lett. 15, No. 5--6, 827--839 (2008; Zbl 1162.53053) Full Text: DOI arXiv
Cleyton, Richard; Ivanov, Stefan Conformal equivalence between certain geometries in dimension 6 and 7. (English) Zbl 1204.53019 Math. Res. Lett. 15, No. 4, 631-640 (2008). MSC: 53C10 53C55 PDFBibTeX XMLCite \textit{R. Cleyton} and \textit{S. Ivanov}, Math. Res. Lett. 15, No. 4, 631--640 (2008; Zbl 1204.53019) Full Text: DOI arXiv
Tosatti, Valentino; Weinkove, Ben The Calabi flow with small inital energy. (English) Zbl 1136.53052 Math. Res. Lett. 14, No. 5-6, 1033-1039 (2007). MSC: 53C55 53C44 32Q20 PDFBibTeX XMLCite \textit{V. Tosatti} and \textit{B. Weinkove}, Math. Res. Lett. 14, No. 5--6, 1033--1039 (2007; Zbl 1136.53052) Full Text: DOI arXiv
Munteanu, Ovidiu Two results on the weighted Poincaré inequality on complete Kähler manifolds. (English) Zbl 1144.53088 Math. Res. Lett. 14, No. 5-6, 995-1008 (2007). Reviewer: Takeshi Sasaki (Kobe) MSC: 53C55 53C20 PDFBibTeX XMLCite \textit{O. Munteanu}, Math. Res. Lett. 14, No. 5--6, 995--1008 (2007; Zbl 1144.53088) Full Text: DOI
Ornea, Liviu; Verbitsky, Misha Embeddings of compact Sasakian manifolds. (English) Zbl 1140.53035 Math. Res. Lett. 14, No. 4, 703-710 (2007). Reviewer: Huafei Sun (Beijing) MSC: 53C55 53C25 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Math. Res. Lett. 14, No. 4, 703--710 (2007; Zbl 1140.53035) Full Text: DOI arXiv
Fine, Joel Fibrations with constant scalar curvature Kähler metrics and the CM-line bundle. (English) Zbl 1132.53039 Math. Res. Lett. 14, No. 2, 239-247 (2007). Reviewer: Eugen Pascu (Montréal) MSC: 53C55 53C07 32L99 32J27 PDFBibTeX XMLCite \textit{J. Fine}, Math. Res. Lett. 14, No. 2, 239--247 (2007; Zbl 1132.53039) Full Text: DOI arXiv
Seshadri, Harish Negative sectional curvature and the product complex structure. (English) Zbl 1112.53026 Math. Res. Lett. 13, No. 2-3, 495-500 (2006). MSC: 53C20 53C55 PDFBibTeX XMLCite \textit{H. Seshadri}, Math. Res. Lett. 13, No. 2--3, 495--500 (2006; Zbl 1112.53026) Full Text: DOI arXiv
Sesum, Natasa Convergence of a Kähler-Ricci flow. (English) Zbl 1087.53063 Math. Res. Lett. 12, No. 5-6, 623-632 (2005). Reviewer: Vasyl Gorkaviy (Kharkov) MSC: 53C44 53C20 58J60 53C55 PDFBibTeX XMLCite \textit{N. Sesum}, Math. Res. Lett. 12, No. 5--6, 623--632 (2005; Zbl 1087.53063) Full Text: DOI arXiv
Ivanov, Stefan Connections with torsion, parallel spinors and geometry of Spin(7) manifolds. (English) Zbl 1073.53065 Math. Res. Lett. 11, No. 2-3, 171-186 (2004). Reviewer: Marisa Fernandez (Bilbao) MSC: 53C27 53C29 53C25 53C55 81T30 PDFBibTeX XMLCite \textit{S. Ivanov}, Math. Res. Lett. 11, No. 2--3, 171--186 (2004; Zbl 1073.53065) Full Text: DOI arXiv
Bielawski, Roger Prescribing Ricci curvature on complexified symmetric spaces. (English) Zbl 1066.53098 Math. Res. Lett. 11, No. 4, 435-441 (2004). Reviewer: G. G. Vrănceanu (Bucureşti) MSC: 53C35 53C55 PDFBibTeX XMLCite \textit{R. Bielawski}, Math. Res. Lett. 11, No. 4, 435--441 (2004; Zbl 1066.53098) Full Text: DOI arXiv
Ornea, Liviu; Verbitsky, Misha Structure theorem for compact Vaisman manifolds. (English) Zbl 1052.53051 Math. Res. Lett. 10, No. 5-6, 799-805 (2003); erratum in J. Geom. Phys. 107, 92-98 (2016). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53C55 53C25 PDFBibTeX XMLCite \textit{L. Ornea} and \textit{M. Verbitsky}, Math. Res. Lett. 10, No. 5--6, 799--805 (2003; Zbl 1052.53051) Full Text: DOI arXiv
Loftin, John C. Affine spheres and Kähler-Einstein metrics. (English) Zbl 1033.53039 Math. Res. Lett. 9, No. 4, 425-432 (2002). Reviewer: Vicente Cortés (Vandœuvre-lés-Nancy) MSC: 53C25 53C55 53A15 PDFBibTeX XMLCite \textit{J. C. Loftin}, Math. Res. Lett. 9, No. 4, 425--432 (2002; Zbl 1033.53039) Full Text: DOI
Futaki, Akito; Tsuboi, Kenji Fixed point formula for characters of automorphism groups associated with Kähler classes. (English) Zbl 1002.53025 Math. Res. Lett. 8, No. 4, 495-507 (2001). Reviewer: Wieslaw Oledzki (Bialystok) MSC: 53C21 53C55 32Q15 58J28 58J20 58J60 PDFBibTeX XMLCite \textit{A. Futaki} and \textit{K. Tsuboi}, Math. Res. Lett. 8, No. 4, 495--507 (2001; Zbl 1002.53025) Full Text: DOI
Matsushita, Daisuke Equidimensionality of Lagrangian fibrations on holomorphic symplectic manifolds. (English) Zbl 1002.53050 Math. Res. Lett. 7, No. 4, 389-391 (2000). Reviewer: Stanislaw Janeczko (Warszawa) MSC: 53C55 53D12 14B25 PDFBibTeX XMLCite \textit{D. Matsushita}, Math. Res. Lett. 7, No. 4, 389--391 (2000; Zbl 1002.53050) Full Text: DOI arXiv
Guan, Daniel On modified Mabuchi functional and Mabuchi moduli space of Kähler metrics on toric bundles. (English) Zbl 0968.53050 Math. Res. Lett. 6, No. 5-6, 547-555 (1999). Reviewer: A.Neagu (Iaşi) MSC: 53C55 58D17 58E11 53C07 PDFBibTeX XMLCite \textit{D. Guan}, Math. Res. Lett. 6, No. 5--6, 547--555 (1999; Zbl 0968.53050) Full Text: DOI
Cao, Huai-Dong; Zhou, Jian Identification of two Frobenius manifolds. (English) Zbl 0983.53058 Math. Res. Lett. 6, No. 1, 17-29 (1999). MSC: 53D45 32J27 16E40 53C55 PDFBibTeX XMLCite \textit{H.-D. Cao} and \textit{J. Zhou}, Math. Res. Lett. 6, No. 1, 17--29 (1999; Zbl 0983.53058) Full Text: DOI
Hong, Ying-Ji Ruled manifolds with constant Hermitian scalar curvature. (English) Zbl 0940.53038 Math. Res. Lett. 5, No. 5, 657-673 (1998). MSC: 53C55 PDFBibTeX XMLCite \textit{Y.-J. Hong}, Math. Res. Lett. 5, No. 5, 657--673 (1998; Zbl 0940.53038) Full Text: DOI
Verbitsky, Misha Desingularization of singular hyperkähler varieties. I. (English) Zbl 0886.32026 Math. Res. Lett. 4, No. 2-3, 259-271 (1997). Reviewer: W.Mozgawa (Lublin) MSC: 32S99 32G13 32L05 53C55 PDFBibTeX XMLCite \textit{M. Verbitsky}, Math. Res. Lett. 4, No. 2--3, 259--271 (1997; Zbl 0886.32026) Full Text: DOI arXiv
Wang, Chin-Lung On the incompleteness of the Weil-Petersson metric along degenerations of Calabi-Yau manifolds. (English) Zbl 0881.32017 Math. Res. Lett. 4, No. 1, 157-171 (1997). Reviewer: V.V.Chueshev (Kemerovo) MSC: 32S35 14J32 32J17 53C55 PDFBibTeX XMLCite \textit{C.-L. Wang}, Math. Res. Lett. 4, No. 1, 157--171 (1997; Zbl 0881.32017) Full Text: DOI
Borthwick, David; Uribe, Alejandro Almost complex structures and geometric quantization. (English) Zbl 0872.58030 Math. Res. Lett. 3, No. 6, 845-861 (1996); erratum ibid. 5, 211-212 (1998). Reviewer: V.Perlick (Berlin) MSC: 53D50 53C15 53B35 81S10 PDFBibTeX XMLCite \textit{D. Borthwick} and \textit{A. Uribe}, Math. Res. Lett. 3, No. 6, 845--861 (1996; Zbl 0872.58030) Full Text: DOI arXiv
McDuff, Dusa; Symington, Margaret Associativity properties of the symplectic sum. (English) Zbl 0877.53025 Math. Res. Lett. 3, No. 5, 591-608 (1996). Reviewer: M.de León (Madrid) MSC: 53C15 53C55 PDFBibTeX XMLCite \textit{D. McDuff} and \textit{M. Symington}, Math. Res. Lett. 3, No. 5, 591--608 (1996; Zbl 0877.53025) Full Text: DOI arXiv
Shi, Wan-Xiong; Yau, S.-T. A note on the total curvature of a Kähler manifold. (English) Zbl 0877.53050 Math. Res. Lett. 3, No. 1, 123-132 (1996). Reviewer: M.de León (Madrid) MSC: 53C55 PDFBibTeX XMLCite \textit{W.-X. Shi} and \textit{S. T. Yau}, Math. Res. Lett. 3, No. 1, 123--132 (1996; Zbl 0877.53050) Full Text: DOI
LeBrun, Claude Polarized 4-manifolds, extremal Kähler metrics, and Seiberg-Witten theory. (English) Zbl 0874.53051 Math. Res. Lett. 2, No. 5, 653-662 (1995). Reviewer: N.Blažić (Beograd) MSC: 53C55 57N13 53C35 PDFBibTeX XMLCite \textit{C. LeBrun}, Math. Res. Lett. 2, No. 5, 653--662 (1995; Zbl 0874.53051) Full Text: DOI
Shepherd-Barron, N. I. Infinite generation for rings of symmetric tensors. (English) Zbl 0839.53048 Math. Res. Lett. 2, No. 2, 125-128 (1995). Reviewer: N.Bokan (Beograd) MSC: 53C55 PDFBibTeX XMLCite \textit{N. I. Shepherd-Barron}, Math. Res. Lett. 2, No. 2, 125--128 (1995; Zbl 0839.53048) Full Text: DOI
Li, Peter Harmonic functions of linear growth on Kähler manifolds with nonnegative Ricci curvature. (English) Zbl 0855.58019 Math. Res. Lett. 2, No. 1, 79-94 (1995). Reviewer: G.Tóth (Camden) MSC: 58E20 53C55 PDFBibTeX XMLCite \textit{P. Li}, Math. Res. Lett. 2, No. 1, 79--94 (1995; Zbl 0855.58019) Full Text: DOI