Collins, Tristan; Picard, Sebastien; Yau, Shing-Tung The Strominger system in the square of a Kähler class. (English) Zbl 07969233 Pure Appl. Math. Q. 21, No. 3, 1015-1035 (2025). MSC: 53C55 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chrysikos, Ioannis; Cortés, Vicente; Gregorovič, Jan Curvature of quaternionic skew-Hermitian manifolds and bundle constructions. (English) Zbl 07964160 Math. Nachr. 298, No. 1, 87-112 (2025). MSC: 53C55 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ghosh, Amalendu \(\mathcal{AC}^{\perp}\) Kähler manifold with second order divergence-free Weyl tensor. (English) Zbl 07958093 Bull. Belg. Math. Soc. - Simon Stevin 31, No. 4, 464-470 (2024). MSC: 53B35 53C15 × Cite Format Result Cite Review PDF Full Text: DOI
Huang, Teng Geometric analysis of the Yang-Mills connections over compact Kähler surfaces. (English) Zbl 1548.53026 Calc. Var. Partial Differ. Equ. 63, No. 9, Paper No. 245, 21 p. (2024). MSC: 53C07 53C55 32J15 × Cite Format Result Cite Review PDF Full Text: DOI
Clarke, Andrew; Tipler, Carl Semi-stability and local wall-crossing for Hermitian Yang-Mills connections. (English) Zbl 07946774 J. Symplectic Geom. 22, No. 3, 673-694 (2024). MSC: 53C07 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xuemiao; Wentworth, Richard A. The nonabelian Hodge correspondence for balanced Hermitian metrics of Hodge-Riemann type. (English) Zbl 07946732 Math. Res. Lett. 31, No. 3, 639-654 (2024). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53C55 53C43 32G15 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dervan, Ruadhaí; McCarthy, John Benjamin; Sektnan, Lars Martin \(Z\)-critical connections and Bridgeland stability conditions-critical connections and Bridgeland stability conditions. (English) Zbl 07945662 Camb. J. Math. 12, No. 2, 253-355 (2024). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53C07 32G13 53C55 53D20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biroud, Kheireddine; Zagane, Abderrahim A study of harmonicity on cotangent bundle with Berger-type deformed Sasaki metric over standard Kähler manifold. (English) Zbl 07944288 Commun. Korean Math. Soc. 39, No. 4, 927-945 (2024). MSC: 53C43 58E20 53C55 53C25 × Cite Format Result Cite Review PDF Full Text: DOI
Zhang, Junsheng Hermitian-Yang-Mills connections on some complete non-compact Kähler manifolds. (English) Zbl 07932410 Math. Ann. 390, No. 3, 4535-4575 (2024). Reviewer: Vamsi Pritham Pingali (Bangalore) MSC: 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Xi Sisi; Smith, Kevin The continuity equation on Hopf and Inoue surfaces. (English) Zbl 07931100 Int. Math. Res. Not. 2024, No. 5, 3625-3648 (2024). MSC: 32Q20 32J15 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Correa, Eder M. DHYM connections on higher rank holomorphic vector bundles over \(\mathbb{P}(T_{\mathbb{P}^2})\). (English) Zbl 07930931 Math. Z. 308, No. 2, Paper No. 36, 27 p. (2024). Reviewer: Carlo Scarpa (Lyon) MSC: 53C07 53C55 14J60 32M10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lian, Zhao Extremal Kähler-Ricci solitons on Fano homogeneous toric bundles. (English) Zbl 07928605 Proc. Am. Math. Soc. 152, No. 11, 4873-4880 (2024). Reviewer: Lars Martin Sektnan (Gothenburg) MSC: 53C55 32Q20 × Cite Format Result Cite Review PDF Full Text: DOI
Fu, Jixiang; Yau, Shing-Tung; Zhang, Dekai Introduction to a deformed Hermitian Yang-Mills flow. (English) Zbl 07925350 Cheng, Shiu-Yuen (ed.) et al., Chern: a great geometer of the 20th century. Lectures given at the 2021 Tsinghua conference celebrating the 110th birthday of S.-S. Chern, Beijing, China, October 10–14, 2021. Somerville, MA: International Press. Surv. Differ. Geom. 26, 157-168 (2024). Reviewer: Rong Du (Shanghai) MSC: 53E99 53C07 × Cite Format Result Cite Review PDF Full Text: DOI
Tsuji, Hajime Dynamical systems of \(p\)-Bergman kernels. (English) Zbl 07924258 Hirachi, Kengo (ed.) et al., The Bergman kernel and related topics. Proceedings of the 23rd Hayama symposium on complex analysis of several variables, SCV XXIII, Kanagawa, Japan, July 27–28, 2022. Singapore: Springer. Springer Proc. Math. Stat. 447, 321-342 (2024). Reviewer: David Békollè (Yaoundé) MSC: 32A25 32Q20 53C25 53C55 × Cite Format Result Cite Review PDF Full Text: DOI
Fowdar, Udhav Explicit abelian instantons on \(S^1\)-invariant Kähler Einstein 6-manifolds. (English) Zbl 07904738 J. Geom. Phys. 203, Article ID 105269, 24 p. (2024). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14D21 32Q20 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fowdar, Udhav Examples of deformed \(\operatorname{Spin}(7)\)-instantons/Donaldson-Thomas connections. (English) Zbl 07895050 Commun. Math. Phys. 405, No. 8, Paper No. 183, 39 p. (2024). Reviewer: Mikhail Malakhal’tsev (Bogotá) MSC: 53C27 53C26 53C55 53C07 57R15 14D21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Delcroix, Thibaut Limits of conical Kähler-Einstein metrics on rank one horosymmetric spaces. (English) Zbl 07879092 Bull. Lond. Math. Soc. 56, No. 7, 2514-2528 (2024). Reviewer: Quanting Zhao (Wuhan) MSC: 53C55 32Q20 32M12 53C23 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Costantini, Matteo; Möller, Martin; Zachhuber, Jonathan The area is a good enough metric. (L’aire est une métrique suffisamment bonne.) (English. French summary) Zbl 1542.14035 Ann. Inst. Fourier 74, No. 3, 1017-1059 (2024). Reviewer: Jayadev Athreya (Seattle) MSC: 14H99 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mandal, Tarak; Sarkar, Avijit; De, Uday Chand On nearly vacuum static equations in almost coKähler manifolds with applications to spacetimes. (English) Zbl 1542.53034 Anal. Math. Phys. 14, No. 3, Paper No. 66, 16 p. (2024). MSC: 53C15 53C25 53C55 83C20 83C56 × Cite Format Result Cite Review PDF Full Text: DOI
Kim, Inyoung Almost-Kähler four-manifolds with harmonic self-dual Weyl curvature. (English) Zbl 1540.53085 Differ. Geom. Appl. 94, Article ID 102141, 9 p. (2024). MSC: 53C55 53C25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andrada, Adrián; Tolcachier, Alejandro Harmonic complex structures and special Hermitian metrics on products of Sasakian manifolds. (English) Zbl 1547.53055 J. Geom. Anal. 34, No. 6, Paper No. 181, 42 p. (2024). Reviewer: Elia Fusi (Torino) MSC: 53C25 53D15 53C56 53B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Gao; Viaclovsky, Jeff; Zhang, Ruobing Torelli-type theorems for gravitational instantons with quadratic volume growth. (English) Zbl 1545.53035 Duke Math. J. 173, No. 2, 227-275 (2024). Reviewer: Ljudmila Kamenova (New York) MSC: 53C21 53C25 53C26 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Nakagawa, Yasuhiro; Nakamura, Satoshi Multiplier Hermitian-Einstein metrics on Fano manifolds of KSM-type. (English) Zbl 1536.53192 Tôhoku Math. J. (2) 76, No. 1, 127-152 (2024). Reviewer: Vladimir P. Kostov (Nice) MSC: 53E30 53C25 32Q20 14J45 14M25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fu, Xin Uniqueness of tangent cone of Kähler-Einstein metrics on singular varieties with crepant singularities. (English) Zbl 1539.53084 Math. Ann. 388, No. 3, 3229-3258 (2024). Reviewer: Yang Li (Cambridge, MA) MSC: 53C55 53C25 53E30 32Q20 32Q25 14J32 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chen, Xuemiao; Wentworth, Richard A. A Donaldson-Uhlenbeck-Yau theorem for normal varieties and semistable bundles on degenerating families. (English) Zbl 1543.14031 Math. Ann. 388, No. 2, 1903-1935 (2024); correction ibid. 388, No. 3, 3319 (2024). Reviewer: Lars Martin Sektnan (Gothenburg) MSC: 14J60 14D06 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pan, Changpeng; Shen, Zhenghan; Zhang, Xi On the existence of harmonic metrics on non-Hermitian Yang-Mills bundles. (English) Zbl 1540.53050 Proc. Lond. Math. Soc. (3) 128, No. 1, Article ID e12580, 24 p. (2024). Reviewer: Jan Kurek (Lublin) MSC: 53C07 57N16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goto, Ryushi The Kobayashi-Hitchin correspondence of generalized holomorphic vector bundles over generalized Kähler manifolds of symplectic type. (English) Zbl 1544.53083 Int. Math. Res. Not. 2024, No. 2, 1496-1567 (2024). Reviewer: Nicholas Rungi (Grenoble) MSC: 53D18 32L10 32Q15 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sektnan, Lars Martin; Tipler, Carl Hermitian Yang-Mills connections on pullback bundles. (English) Zbl 1532.53049 Calc. Var. Partial Differ. Equ. 63, No. 1, Paper No. 13, 63 p. (2024). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53C07 53C55 14J60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Apostolov, Vestislav; Lahdili, Abdellah; Legendre, Eveline From Kähler Ricci solitons to Calabi-Yau Kähler cones. arXiv:2412.02564 Preprint, arXiv:2412.02564 [math.DG] (2024). MSC: 53C55 58E11 53C18 32Q15 53C25 53D10 × Cite Format Result Cite Full Text: arXiv
Combe, Noémie. C. On the geometry of Kähler–Frobenius manifolds and their classification. arXiv:2411.14362 Preprint, arXiv:2411.14362 [math.DG] (2024). MSC: 53A15 53B05 53C07 53C55 53D45 14K25 × Cite Format Result Cite Full Text: arXiv
Fusi, Elia; Giusti, Federico Blowing up Chern-Ricci flat balanced metrics. arXiv:2410.22241 Preprint, arXiv:2410.22241 [math.DG] (2024). MSC: 53C07 53C25 53C55 × Cite Format Result Cite Full Text: arXiv OA License
Cardona, Sergio Andres Holguin; Martínez-Ruiz, Kenett On orthogonal decompositions of hermitian Higgs bundles. arXiv:2407.19062 Preprint, arXiv:2407.19062 [math.DG] (2024). MSC: 53C07 53C55 32C15 × Cite Format Result Cite Full Text: arXiv OA License
Hisamoto, Tomoyuki On the Miyaoka-Yau inequality for manifolds with nef anti-canonical line bundle. arXiv:2403.09120 Preprint, arXiv:2403.09120 [math.DG] (2024). MSC: 53C55 32Q20 32Q26 53C07 × Cite Format Result Cite Full Text: arXiv OA License
Finski, Siarhei Lower bounds on fibered Yang-Mills functionals: generic nefness and semistability of direct images. arXiv:2402.08598 Preprint, arXiv:2402.08598 [math.DG] (2024). MSC: 58E15 53C07 32L05 32Q26 14F06 53C55 × Cite Format Result Cite Full Text: arXiv
Guo, Bin; Phong, Duong H.; Sturm, Jacob Kähler-Einstein metrics and eigenvalue gaps. (English) Zbl 07935162 Commun. Anal. Geom. 31, No. 9, 2255-2275 (2023). Reviewer: Sorin Dragomir (Potenza) MSC: 32Q20 32J27 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abbassi, Mohamed Tahar Kadaoui; El Masdouri, Reda; Lakrini, Ibrahim Complex and symplectic geometry of vector bundle manifolds. (English) Zbl 1543.53024 Sib. Èlektron. Mat. Izv. 20, No. 2, 1295-1312 (2023). MSC: 53C15 53D05 53C55 53C07 57R22 × Cite Format Result Cite Review PDF Full Text: DOI MNR
Boyer, Charles P.; Tønnesen-Friedman, Christina W. Constant scalar curvature Sasaki metrics and projective bundles. (English) Zbl 1548.53055 Cheltsov, Ivan (ed.) et al., Birational geometry, Kähler-Einstein metrics and degenerations. Proceedings of the conferences, Moscow, Russia, April 8–13, 2019, Shanghai, China, June 10–14, 2019, Pohang, South Korea, November 18–22, 2019. Cham: Springer. Springer Proc. Math. Stat. 409, 95-128 (2023). Reviewer: Mihail Banaru (Smolensk) MSC: 53C25 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Berman, Robert J. Emergent complex geometry. (English) Zbl 1546.53001 Beliaev, Dmitry (ed.) et al., International congress of mathematicians 2022, ICM 2022, Helsinki, Finland, virtual, July 6–14, 2022. Volume 4. Sections 5–8. Berlin: European Mathematical Society (EMS). 2456-2483 (2023). Reviewer: Vamsi Pritham Pingali (Bangalore) MSC: 53-02 53C55 53B12 58E11 60G55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gauduchon, Paul About commuting Sasaki structures. (English) Zbl 07801217 Pure Appl. Math. Q. 19, No. 6, 2765-2785 (2023). MSC: 53C55 53D10 53C25 × Cite Format Result Cite Review PDF Full Text: DOI
Dey, Santu; Uddin, Siraj Applications of some types of solitons within the framework of Kählerian spacetime manifolds. (English) Zbl 1531.53052 Int. J. Geom. Methods Mod. Phys. 20, No. 9, Article ID 2350143, 19 p. (2023). MSC: 53C25 53C18 53C55 53C50 × Cite Format Result Cite Review PDF Full Text: DOI
Otal, Antonio; Ugarte, Luis Six dimensional homogeneous spaces with holomorphically trivial canonical bundle. (English) Zbl 1535.53054 J. Geom. Phys. 194, Article ID 105014, 27 p. (2023). MSC: 53C30 53C55 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Apostolov, Vestislav; Jubert, Simon; Lahdili, Abdellah Weighted K-stability and coercivity with applications to extremal Kähler and Sasaki metrics. (English) Zbl 1528.32036 Geom. Topol. 27, No. 8, 3229-3302 (2023). MSC: 32Q20 53C25 53C55 32J27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsumura, Shin-ichi On the minimal model program for projective varieties with pseudo-effective tangent sheaf. (English) Zbl 1528.14020 Épijournal de Géom. Algébr., EPIGA 7, Paper No. 22, 13 p. (2023). Reviewer: Guolei Zhong (Daejeon) MSC: 14E30 53C25 32J25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Buchdahl, Nicholas; Schumacher, Georg Weil-Petersson forms for families of polystable bundles over compact Kähler manifolds. (English) Zbl 1528.53021 Int. J. Math. 34, No. 13, Article ID 2350082, 28 p. (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53C07 53C55 32U05 32U40 32G13 32Q15 14L24 × Cite Format Result Cite Review PDF Full Text: DOI
Biquard, Olivier; Gauduchon, Paul About a family of ALF instantons with conical singularities. (English) Zbl 1529.53046 SIGMA, Symmetry Integrability Geom. Methods Appl. 19, Paper 079, 19 p. (2023). Reviewer: Daniel Thung (Amsterdam) MSC: 53C25 53C26 53C07 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Liding; Zhang, Jiaogen The Cauchy-Dirichlet problem for parabolic deformed Hermitian-Yang-Mills equation. (English) Zbl 1523.58027 Proc. Am. Math. Soc. 151, No. 10, 4543-4556 (2023). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J35 35J60 53C07 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Han, Xiaoli; Jin, Xishen Stability of line bundle mean curvature flow. (English) Zbl 1528.53090 Trans. Am. Math. Soc. 376, No. 9, 6371-6395 (2023). Reviewer: Jesus Muciño Raymundo (Morelia) MSC: 53E10 53C07 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deb, Prahllad; Hazra, Somnath A family of homogeneous operators in the Cowen-Douglas class over the poly-disc. (English) Zbl 1539.47033 Stud. Math. 271, No. 1, 65-84 (2023). MSC: 47B13 47B32 20C25 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Zhenghan Semi-stable twisted holomorphic vector bundles over Gauduchon manifolds. (English) Zbl 1531.32024 Bull. Sci. Math. 187, Article ID 103288, 21 p. (2023). Reviewer: Georg Schumacher (Marburg) MSC: 32L05 32Q15 32Q20 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hwang, Dongseon; Kim, Shin-Young; Park, Kyeong-Dong Greatest Ricci lower bounds of projective horospherical manifolds of Picard number one. (English) Zbl 1525.14065 Ann. Global Anal. Geom. 64, No. 2, Paper No. 13, 29 p. (2023). Reviewer: Jacopo Gandini (Pisa) MSC: 14M27 32Q26 32M12 32Q20 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Barbaro, Giuseppe; Lejmi, Mehdi Second Chern-Einstein metrics on four-dimensional almost-Hermitian manifolds. (English) Zbl 1520.53021 Complex Manifolds 10, Article ID 20220150, 24 p. (2023). MSC: 53C15 53D05 53C55 53B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiang, Chunlan; Ji, Kui; Keshari, Dinesh Kumar Geometric similarity invariants of Cowen-Douglas operators. (English) Zbl 1522.32047 J. Noncommut. Geom. 17, No. 2, 573-608 (2023). MSC: 32L05 47B13 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jedrzejewski, Franck Differential varieties, physics and topological invariants. (Variétés différentielles, physique et invariants topologiques.) (French) Zbl 1545.53001 Les Ulis: EDP Sciences (ISBN 978-2-7598-3142-5/pbk). 372 p. (2023). Reviewer: Ahmed Lesfari (El Jadida) MSC: 53-01 58-01 53Bxx 53Cxx 53D05 53Z05 37J39 58Axx 58Jxx 70G45 83C05 83C10 83C15 83C20 83C35 × Cite Format Result Cite Review PDF Full Text: DOI
Gezer, Aydin; Cakicioglu, Hasan Notes concerning Codazzi pairs on almost anti-Hermitian manifolds. (English) Zbl 1524.53150 Appl. Math., Ser. B (Engl. Ed.) 38, No. 2, 223-234 (2023). MSC: 53C55 53B12 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Djaa, Nour Elhouda; Gezer, Aydin Notes on the second tangent bundle over an anti-biparaKaehlerian manifold. (English) Zbl 1518.53025 Kyungpook Math. J. 63, No. 1, 79-95 (2023). Reviewer: Mihail Banaru (Smolensk) MSC: 53C07 53C55 53C22 × Cite Format Result Cite Review PDF Full Text: DOI
Loi, Andrea; Mossa, Roberto On holomorphic isometries into blow-ups of \(\mathbb{C}^n\). (English) Zbl 1517.53050 Mediterr. J. Math. 20, No. 4, Paper No. 230, 11 p. (2023). MSC: 53C25 53C55 32Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Broder, Kyle The Schwarz lemma in Kähler and non-Kähler geometry. (English) Zbl 1517.32064 Asian J. Math. 27, No. 1, 121-134 (2023). MSC: 32Q05 32Q20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pingali, Vamsi Pritham The Demailly system for a direct sum of ample line bundles on Riemann surfaces. (English) Zbl 1522.53061 Calc. Var. Partial Differ. Equ. 62, No. 6, Paper No. 172, 11 p. (2023). Reviewer: Tsz On Mario Chan (Taipei) MSC: 53C55 53C07 32J25 58A14 35J96 32W20 32Q15 32Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Arezzo, Claudio; Della Vedova, Alberto; Shi, Yalong Constant scalar curvature Kähler metrics on ramified Galois coverings. (English) Zbl 1542.14036 J. Reine Angew. Math. 799, 229-247 (2023). Reviewer: Kai Zheng (Coventry) MSC: 14J15 14E20 32Q20 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ballal, Aashirwad The supercritical deformed Hermitian Yang-Mills equation on compact projective manifolds. (English) Zbl 1517.53027 Ill. J. Math. 67, No. 1, 73-99 (2023). Reviewer: Vladimir Balan (Bucureşti) MSC: 53C07 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Nitta, Yasufumi On relations between Mabuchi’s generalized Kähler-Einstein metrics and various canonical Kähler metrics. (English) Zbl 1514.53092 Proc. Am. Math. Soc. 151, No. 7, 3083-3087 (2023). MSC: 53C25 53C55 × Cite Format Result Cite Review PDF Full Text: DOI
Lejmi, Mehdi; Shen, Xi Sisi Canonical almost-Kähler metrics dual to general plane-fronted wave Lorentzian metrics. (English) Zbl 1515.53019 Math. Z. 303, No. 4, Paper No. 94, 15 p. (2023). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 53B30 53B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cahen, Michel; Gutt, Simone; Hayyani, Manar; Raouyane, Mohammed Some pseudo-Kähler Einstein 4-symmetric spaces with a “twin” special almost complex structure. (English) Zbl 1515.53056 Differ. Geom. Appl. 86, Article ID 101958, 23 p. (2023). Reviewer: Zdeněk Dušek (České Budějovice) MSC: 53C35 53C15 32Q15 53B35 53C28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guan, Zhuangdan Maxwell-Einstein metrics on completions of certain \(\mathrm{C}^\ast\) bundles. (English) Zbl 1513.53097 Acta Math. Sci., Ser. B, Engl. Ed. 43, No. 1, 363-372 (2023). MSC: 53C26 53C21 53C55 32L05 32M12 32Q20 × Cite Format Result Cite Review PDF Full Text: DOI
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 × Cite Format Result Cite Full Text: arXiv OA License
Lahdili, Abdellah; Legendre, Eveline; Scarpa, Carlo The Einstein-Hilbert functional and the Donaldson-Futaki invariant. arXiv:2310.11625 Preprint, arXiv:2310.11625 [math.DG] (2023). MSC: 53C55 58E11 53C18 32Q15 53C25 53D10 × Cite Format Result Cite Full Text: arXiv OA License
Clarke, Andrew; Tipler, Carl Blowing-up Hermitian Yang–Mills connections. arXiv:2301.00525 Preprint, arXiv:2301.00525 [math.DG] (2023). MSC: 53C07 53C55 14J60 × Cite Format Result Cite Full Text: arXiv
Huang, Shaochuang; Lee, Man-Chun; Tam, Luen-Fai; Tong, Freid Longtime existence of Kähler-Ricci flow and holomorphic sectional curvature. (English) Zbl 1520.53087 Commun. Anal. Geom. 30, No. 7, 1479-1509 (2022). Reviewer: Jin Woo Jang (Pohang) MSC: 53E30 32Q15 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goto, Ryushi Moduli spaces of Einstein-Hermitian generalized connections over generalized Kähler manifolds of symplectic type. (English) Zbl 1518.53026 Riv. Mat. Univ. Parma (N.S.) 13, No. 2, 611-649 (2022). Reviewer: Mihail Banaru (Smolensk) MSC: 53C07 53C55 53E30 53C26 53C05 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Rossi, Federico A. New special Einstein pseudo-Riemannian metrics on solvable Lie algebras. (English) Zbl 1523.53051 Riv. Mat. Univ. Parma (N.S.) 13, No. 2, 449-479 (2022). MSC: 53C25 53C55 53C30 17B30 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Han, Xiaoli; Yamamoto, Hikaru An \(\varepsilon \)-regularity theorem for line bundle mean curvature flow. (English) Zbl 1521.53067 Asian J. Math. 26, No. 6, 737-776 (2022). Reviewer: Yong Wei (Hefei) MSC: 53E10 53E30 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Araneda, Bernardo On self-dual Yang-Mills fields on special complex surfaces. (English) Zbl 1508.53025 J. Math. Phys. 63, No. 5, Article ID 052501, 10 p. (2022). MSC: 53B35 53C07 53C55 53C18 70S15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Solomon; Murphy, Tommy; Phan, Thanh Nhan Quasi-Einstein metrics on sphere bundles. (English) Zbl 1507.53049 Involve 15, No. 3, 507-514 (2022). MSC: 53C25 53B35 55R25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lee, Jae-Hyouk; Park, Kyeong-Dong; Yoo, Sungmin K-stability of Gorenstein Fano group compactifications with rank two. (English) Zbl 1508.14060 Int. J. Math. 33, No. 13, Article ID 2250083, 42 p. (2022). Reviewer: Alessandro Ruzzi (Montreuil) MSC: 14M27 32Q20 32M12 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fu, Jixiang; Zhou, Xianchao Scalar curvatures in almost Hermitian geometry and some applications. (English) Zbl 1503.53045 Sci. China, Math. 65, No. 12, 2583-2600 (2022). MSC: 53B35 53C07 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Trusiani, Antonio Kähler-Einstein metrics with prescribed singularities on Fano manifolds. (English) Zbl 1510.32059 J. Reine Angew. Math. 793, 1-57 (2022). Reviewer: Andrea Galasso (Taipei) MSC: 32Q20 14J45 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biswas, Indranil; Dumitrescu, Sorin Holomorphic \(G\)-structures and foliated Cartan geometries on compact complex manifolds. (English) Zbl 1505.53001 Papadopoulos, Athanase (ed.), Surveys in geometry I. Cham: Springer. 417-461 (2022). MSC: 53-02 53C55 32G05 53C07 53C10 32Q57 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Biquard, Olivier; Guenancia, Henri Degenerating Kähler-Einstein cones, locally symmetric cusps, and the Tian-Yau metric. (English) Zbl 1510.32057 Invent. Math. 230, No. 3, 1101-1163 (2022). Reviewer: Thibaut Delcroix (Montpellier) MSC: 32Q20 53C55 35J99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Pingali, Vamsi Pritham The deformed Hermitian Yang-Mills equation on three-folds. (English) Zbl 1504.32066 Anal. PDE 15, No. 4, 921-935 (2022). MSC: 32Q15 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baraglia, David; Hekmati, Pedram A foliated Hitchin-Kobayashi correspondence. (English) Zbl 1529.53020 Adv. Math. 408, Part B, Article ID 108661, 47 p. (2022). Reviewer: Andrea Tamburelli (Houston) MSC: 53C07 53C25 57R20 14D21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nezhad, Akbar Dehghan; Beizavi, Sareh; Tayebi, Akbar Some geometrical results on nearly Kähler Finsler manifolds. (English) Zbl 1513.53047 Facta Univ., Ser. Math. Inf. 37, No. 2, 295-305 (2022). MSC: 53B35 53B40 53C25 53C26 53C60 × Cite Format Result Cite Review PDF Full Text: DOI
Andrada, Adrián; Villacampa, Raquel Bismut connection on Vaisman manifolds. (English) Zbl 1503.53047 Math. Z. 302, No. 2, 1091-1126 (2022). Reviewer: Sergiu Moroianu (Bucureşti) MSC: 53C05 53C29 53C55 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Pandey, Pankaj Study of Kaehler structure on 4-dimensional space-time. (English) Zbl 1502.53077 Differ. Geom. Dyn. Syst. 24, 157-163 (2022). MSC: 53C25 53C55 53C80 53C50 × Cite Format Result Cite Review PDF Full Text: Link
Özdemir, Nülifer; Erdoğan, Necip Some relations between almost paracontact metric manifolds and almost parahermitian manifolds. (English) Zbl 1500.53035 Turk. J. Math. 46, No. 4, 1459-1477 (2022). MSC: 53C15 53C25 53C50 × Cite Format Result Cite Review PDF Full Text: DOI
Druţă-Romaniuc, S. L. General natural \(\alpha\)-structures parallel with respect to the Schouten-van Kampen connection on the tangent bundle. (English) Zbl 1528.53022 Mediterr. J. Math. 19, No. 4, Paper No. 195, 21 p. (2022). Reviewer: Andrea Tamburelli (Houston) MSC: 53C07 53C15 53B35 53C55 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Chih-Chung; Rayan, Steven; Tanaka, Yuuji The Kapustin-Witten equations and nonabelian Hodge theory. (English) Zbl 1491.14064 Eur. J. Math. 8, Suppl. 1, S23-S41 (2022). MSC: 14J60 53C07 14D21 14D07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kawai, Kotaro; Yamamoto, Hikaru Mirror of volume functionals on manifolds with special holonomy. (English) Zbl 1505.53064 Adv. Math. 405, Article ID 108515, 69 p. (2022). MSC: 53C27 53C07 58D27 53E10 53D37 53C25 53C10 53C38 57R15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Demailly, J. P. Monge-Ampère functionals for the curvature tensor of a holomorphic vector bundle. (English) Zbl 1513.32034 Anal. Math. 48, No. 2, 427-450 (2022). MSC: 32J25 53C07 58J10 32W20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv HAL
Zhang, Pan Semi-stable holomorphic vector bundles over generalized Kähler manifolds. (English) Zbl 1500.53031 Complex Var. Elliptic Equ. 67, No. 6, 1481-1495 (2022). Reviewer: Yoshinori Hashimoto (Osaka) MSC: 53C07 53C55 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Ji-Eun Pointwise slant curves in pseudo-Hermitian geometry. (English) Zbl 1492.53069 Mediterr. J. Math. 19, No. 3, Paper No. 130, 15 p. (2022). MSC: 53C25 53C50 53C15 × Cite Format Result Cite Review PDF Full Text: DOI
Bi, Enchao; Hou, Zelin Canonical metrics on generalized Hartogs triangles. (English) Zbl 1487.32127 C. R., Math., Acad. Sci. Paris 360, 305-313 (2022). MSC: 32Q02 32Q20 53C55 × Cite Format Result Cite Review PDF Full Text: DOI
Lee, Man-Chun Complete Kähler-Einstein metric on Stein manifolds with negative curvature. (English) Zbl 1487.32143 Int. Math. Res. Not. 2022, No. 6, 4280-4289 (2022). MSC: 32Q20 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Loi, Andrea; Salis, Filippo; Zuddas, Fabio Kähler-Ricci solitons induced by infinite-dimensional complex space forms. (English) Zbl 1487.32136 Pac. J. Math. 316, No. 1, 183-205 (2022). MSC: 32Q15 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Boucksom, Sébastien; Hisamoto, Tomoyuki; Jonsson, Mattias Erratum to: “Uniform K-stability and asymptotics of energy functionals in Kähler geometry”. (English) Zbl 1483.53087 J. Eur. Math. Soc. (JEMS) 24, No. 2, 735-736 (2022). MSC: 53C55 14L24 32P05 32Q20 32Q26 × Cite Format Result Cite Review PDF Full Text: DOI
Kawai, Kotaro; Yamamoto, Hikaru Deformation theory of deformed Hermitian Yang-Mills connections and deformed Donaldson-Thomas connections. (English) Zbl 1497.53054 J. Geom. Anal. 32, No. 5, Paper No. 157, 51 p. (2022). Reviewer: Mikhail Malakhal’tsev (Bogotá) MSC: 53C07 58D27 58H15 53D37 53C25 53C38 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Shen, Zhenghan; Zhang, Chuanjing; Zhang, Xi Flat Higgs bundles over non-compact affine Gauduchon manifolds. (English) Zbl 1531.32025 J. Geom. Phys. 175, Article ID 104475, 25 p. (2022). MSC: 32L05 53C07 57N16 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ioos, Louis Balanced metrics for Kähler-Ricci solitons and quantized Futaki invariants. (English) Zbl 1495.53086 J. Funct. Anal. 282, No. 8, Article ID 109400, 58 p. (2022). Reviewer: Yoshinori Hashimoto (Osaka) MSC: 53C55 53C25 53E30 32Q15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Deb, Prahllad On homogeneous operators in the Cowen-Douglas class over polydisc. (English) Zbl 1543.47048 New York J. Math. 28, 402-419 (2022). MSC: 47B13 47B32 53C07 × Cite Format Result Cite Review PDF Full Text: Link
Datar, Ved; Jacob, Adam Hermitian-Yang-Mills connections on collapsing elliptically fibered \(K3\) surfaces. (English) Zbl 1493.53095 J. Geom. Anal. 32, No. 2, Paper No. 69, 30 p. (2022). Reviewer: Daniel Thung (Hamburg) MSC: 53C55 53C07 53C26 14J28 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huang, Liding; Zhang, Jiaogen; Zhang, Xi The deformed Hermitian-Yang-Mills equation on almost Hermitian manifolds. (English) Zbl 1493.53033 Sci. China, Math. 65, No. 1, 127-152 (2022). Reviewer: Qiongling Li (Tianjin) MSC: 53C07 32Q60 30C80 35B45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv