Varea, Carlos A. B. Invariant generalized complex structures on partial flag manifolds. (English) Zbl 1440.22038 Indag. Math., New Ser. 31, No. 4, 536-555 (2020). Reviewer: V. V. Gorbatsevich (Moskva) MSC: 22F30 53D30 53D18 14M15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biswas, Indranil; García-Prada, Oscar; Hurtubise, Jacques; Rayan, Steven Principal co-Higgs bundles on \(\mathbb{P}^1\). (English) Zbl 1437.14041 Proc. Edinb. Math. Soc., II. Ser. 63, No. 2, 512-530 (2020). Reviewer: Ahmed Lesfari (El Jadida) MSC: 14H60 14D20 14D21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wright, Kyle Generalised contact geometry as reduced generalised complex geometry. (English) Zbl 1405.53041 J. Geom. Phys. 130, 331-348 (2018). Reviewer: Roberto Rubio (Barcelona) MSC: 53C08 53C15 53C55 53D18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nannicini, Antonella Generalized geometry of Norden and para Norden manifolds. (English) Zbl 1392.53048 Angella, Daniele (ed.) et al., Complex and symplectic geometry. Based on the presentations at the INdAM meeting “Complex and symplectic geometry”, Cortona, Italy, June 12–18, 2016. Cham: Springer (ISBN 978-3-319-62913-1/hbk; 978-3-319-62914-8/ebook). Springer INdAM Series 21, 163-178 (2017). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 53C15 53C56 53D18 53C38 53C55 × Cite Format Result Cite Review PDF Full Text: DOI
Bailey, Michael; Gualtieri, Marco Local analytic geometry of generalized complex structures. (English) Zbl 1376.53100 Bull. Lond. Math. Soc. 49, No. 2, 307-319 (2017). Reviewer: David Fernández (Rio de Janeiro) MSC: 53D18 53D17 32C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sekiya, Ken’ich Generalized almost contact structures and generalized Sasakian structures. (English) Zbl 1325.53107 Osaka J. Math. 52, No. 1, 43-58 (2015). Reviewer: Akira Asada (Takarazuka) MSC: 53D18 53D10 × Cite Format Result Cite Review PDF Full Text: arXiv Euclid
Blaga, A. M.; Crasmareanu, M. A class of almost tangent structures in generalized geometry. (English) Zbl 1326.53037 Balkan J. Geom. Appl. 19, No. 2, 23-36 (2014). Reviewer: Vagn Lundsgaard Hansen (Lyngby) MSC: 53C15 53D18 × Cite Format Result Cite Review PDF
Nannicini, Antonella Special Kähler manifolds and generalized geometry. (English) Zbl 1304.53081 Differ. Geom. Appl. 31, No. 2, 230-238 (2013). Reviewer: Peter Dalakov (Trieste) MSC: 53D18 53C15 53D05 53C26 53C38 × Cite Format Result Cite Review PDF Full Text: DOI
Hitchin, Nigel Generalized holomorphic bundles and the B-field action. (English) Zbl 1210.53079 J. Geom. Phys. 61, No. 1, 352-362 (2011). Reviewer: Akira Asada (Takarazuka) MSC: 53D18 32L05 81T13 58J10 53C05 53C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nannicini, Antonella Almost complex structures on cotangent bundles and generalized geometry. (English) Zbl 1200.53031 J. Geom. Phys. 60, No. 11, 1781-1791 (2010). Reviewer: Constantin Călin (Iaşi) MSC: 53C15 53C21 53C42 × Cite Format Result Cite Review PDF Full Text: DOI
Witt, Frederik Calabi-Yau manifolds with \(B\)-fields. (English) Zbl 1184.53082 Rend. Semin. Mat., Univ. Politec. Torino 66, No. 1, 1-21 (2008). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 53D18 53C25 53C10 53C55 81T30 × Cite Format Result Cite Review PDF Full Text: arXiv
Tomasiello, Alessandro Geometry of supersymmetric type II solutions. (English) Zbl 1165.81382 Sharpe, Eric (ed.) et al., Advances in string theory. The first Sowers workshop in theoretical physics, Blacksburg, VA, USA, May 14–18, 2007. Providence, RI: American Mathematical Society (AMS); Somerville, MA: International Press (ISBN 978-0-8218-4764-0/pbk). AMS/IP Studies in Advanced Mathematics 44, 183-191 (2008). MSC: 81T60 83E50 53C10 53C80 81T30 83E30 14J32 × Cite Format Result Cite Review PDF
Cavalcanti, Gil Introduction to generalized complex geometry. Paper from the 26th Brazilian Mathematics Colloquium – Colóquio Brasileiro de Matemática, Rio de Janeiro, Brazil, July 29–August 3, 2007. (English) Zbl 1144.53090 Publicações Matemáticas do IMPA. Rio de Janeiro: Instituto Nacional de Matemática Pura e Aplicada (IMPA) (ISBN 978-85-244-0254-8/pbk). ii, 91 p., open access (2007). Reviewer: Ilie Burdujan (Iaşi) MSC: 53C56 53D20 × Cite Format Result Cite Review PDF Full Text: Link
Apostolov, Vestislav; Gualtieri, Marco Generalized Kähler manifolds, commuting complex structures, and split tangent bundles. (English) Zbl 1135.53018 Commun. Math. Phys. 271, No. 2, 561-575 (2007). Reviewer: Takeshi Sasaki (Kobe) MSC: 53C15 53C55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kapustin, Anton; Li, Yi Topological sigma-models with \(H\)-flux and twisted generalized complex manifolds. (English) Zbl 1192.81310 Adv. Theor. Math. Phys. 11, No. 2, 261-290 (2007). Reviewer: Helmut Rumpf (Wien) MSC: 81T45 81T40 81T60 81R25 32Q15 14J32 53D45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cavalcanti, Gil R.; Gualtieri, Marco A surgery for generalized complex structures on 4-manifolds. (English) Zbl 1124.57011 J. Differ. Geom. 76, No. 1, 35-43 (2007). Reviewer: Terry Lawson (Portland) MSC: 57R65 57R57 57R17 57N13 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grabowski, Janusz Courant-Nijenhuis tensors and generalized geometries. (English) Zbl 1137.53021 Clemente-Gallardo, Jesús (ed.) et al., Groups, geometry and physics. Lectures presented at the workshop, Zaragoza, Spain, December 9–10, 2005. Zaragoza: Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza. Monografías de la Real Academia de Ciencias Exactas, Físicas, Químicas y Naturales de Zaragoza 29, 101-112 (2006). Reviewer: Jan Grabowski (Oxford) MSC: 53D17 17A32 53C15 53D05 × Cite Format Result Cite Review PDF Full Text: arXiv
Hitchin, Nigel Brackets, forms and invariant functionals. (English) Zbl 1113.53030 Asian J. Math. 10, No. 3, 541-560 (2006). Reviewer: Jan Kurek (Lublin) MSC: 53C25 53C80 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Nannicini, Antonella Calibrated complex structures on the generalized tangent bundle of a Riemannian manifold. (English) Zbl 1102.53018 J. Geom. Phys. 56, No. 6, 903-916 (2006). Reviewer: Demetra Demetropoulou-Psomopoulou (Thessaloniki) MSC: 53C15 53C21 53C38 × Cite Format Result Cite Review PDF Full Text: DOI
Ben-Bassat, Oren Mirror symmetry and generalized complex manifolds. I: The transform on vector bundles, spinors, and branes. (English) Zbl 1096.14031 J. Geom. Phys. 56, No. 4, 533-558 (2006). Reviewer: Daniel Beltiţă (Bucureşti) MSC: 14J32 53C56 53C05 81T30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huybrechts, Daniel Generalized Calabi-Yau structures, \(K3\) surfaces, and \(B\)-fields. (English) Zbl 1120.14027 Int. J. Math. 16, No. 1, 13-36 (2005). Reviewer: Marc Nieper-Wißkirchen (Mainz) MSC: 14J28 32Q25 14J32 32G20 14D21 53C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ben-Bassat, Oren; Boyarchenko, Mitya Submanifolds of generalized complex manifolds. (English) Zbl 1082.53077 J. Symplectic Geom. 2, No. 3, 309-355 (2004). Reviewer: Takeshi Sasaki (Kobe) MSC: 53D12 53C56 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid