A note on invariant description of \(\mathrm{SU}(2)\)-structures in dimension 5. (English) Zbl 1532.53075
Reviewer: Ahmed Lesfari (El Jadida)
Found 45 Documents (Results 1–45)
Differential geometry of \(\mathrm{SO}^*(2n)\)-type structures-integrability. (English) Zbl 1503.53102
Reviewer: Francesco Cattafi (Würzburg)
Parabolic quaternionic Monge-Ampère equation on compact manifolds with a flat hyperKähler metric. (English) Zbl 1483.35133
Existence of HKT metrics on hypercomplex manifolds of real dimension 8. (English) Zbl 1390.53046
Reviewer: Antonio De Nicola (Fisciano)
Moduli spaces of torsion sheaves on \(K3\) surfaces and derived equivalences. (English) Zbl 1361.14013
Reviewer: Howard Nuer (Piscataway)
Intrinsic torsion in quaternionic contact geometry. (English) Zbl 1350.53062
Reviewer: Mihail Banaru (Smolensk)
\(\mathcal{N} = 4\) mechanics with diverse (4, 4, 0) multiplets: explicit examples of hyper-Kähler with torsion, Clifford-Kähler with torsion, and octonionic Kähler with torsion geometries. (English) Zbl 1332.81074
SO(3)-structures on 8-manifolds. (English) Zbl 1273.53019
Reviewer: Simona Druta-Romaniuc (Iaşi)
Homogeneous spaces, multi-moment maps and \((2,3)\)-trivial algebras. (English) Zbl 1236.81123
Herdeiro, Carlos (ed.) et al., XIX international fall workshop on geometry and physics, Porto, Portugal, September 6–9, 2010. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0918-7/pbk). AIP Conference Proceedings 1360, 51-62 (2011).
HKT structures from almost contact manifolds. (English) Zbl 1236.81139
Herdeiro, Carlos (ed.) et al., XIX international fall workshop on geometry and physics, Porto, Portugal, September 6–9, 2010. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0918-7/pbk). AIP Conference Proceedings 1360, 27-38 (2011).
New HKT manifolds arising from quaternionic representations. (English) Zbl 1229.53055
Reviewer: Anna Fino (Torino)
A connection with parallel totally skew-symmetric torsion on a class of almost hypercomplex manifolds with Hermitian and anti-Hermitian metrics. (English) Zbl 1214.53056
Reviewer: Cornelia-Livia Bejan (Iaşi)
Quaternionic geometries from superconformal symmetry. (English) Zbl 1206.53054
Cortés, Vicente (ed.), Handbook of pseudo-Riemannian geometry and supersymmetry. Papers based on the 77th meeting “Encounter between mathematicians and theoretical physicists”, Strasbourg, France, 2005. Zürich: European Mathematical Society (ISBN 978-3-03719-079-1/hbk). IRMA Lectures in Mathematics and Theoretical Physics 16, 455-474 (2010).
Reviewer: Akira Asada (Takarazuka)
Curvature of almost quaternion-Hermitian manifolds. (English) Zbl 1206.53051
Reviewer: Yoshi Kamishima (Hachioji)
Twistorial constructions of special Riemannian manifolds. (English) Zbl 1161.53032
Fernandes, Rui Loja (ed.) et al., Geometry and physics. XVI international fall workshop, Lisbon, Portugal, September 5–8, 2007. Melville, NY: American Institute of Physics (AIP) (ISBN 978-0-7354-0546-2/hbk). AIP Conference Proceedings 1023, 121-126 (2008).
Reviewer: Isabel Salavessa (Lisboa)
Hyperkähler prequantization of the Hitchin system and Chern-Simons theory with complex gauge group. (English) Zbl 1218.53090
Transgression on hyper-Kähler manifolds and generalized higher torsion forms. (English) Zbl 1119.53034
Reviewer: Gueo Grantcharov (Miami)
MSC:
53C26
\(Sp(n)U(1)\)-connections with parallel totally skew-symmetric torsion. (English) Zbl 1107.53012
Reviewer: Huafei Sun (Beijing)
Hyper-para-Hermitian manifolds with torsion. (English) Zbl 1092.53022
Reviewer: Liviu Ornea (Bucureşti)
Hypercomplex structures on Kähler manifolds. (English) Zbl 1091.53027
Reviewer: Liviu Ornea (Bucureşti)
Hyper-Hermitian manifolds and connections with skew-symmetric torsion. (English) Zbl 1083.53049
Abłamowicz, Rafał (ed.), Clifford algebras. Applications to mathematics, physics, and engineering. Papers from the 6th international conference on Clifford algebras and their applications in mathematical physics, Cookeville, TN, USA, May 20–25, 2002. Boston, MA: Birkhäuser (ISBN 0-8176-3525-4/hbk). Progress in Mathematical Physics 34, 167-183 (2004).
Reviewer: Alberto Cavicchioli (Modena)
Potentials for hyper-Kähler metrics with torsion. (English) Zbl 1062.53037
Reviewer: Dimitrii V. Alekseevsky (Hull)
A Bochner formula for almost-quaternionic-Hermitian structures. (English) Zbl 1057.53033
Reviewer: Liviu Ornea (Bucureşti)
Quaternionic analytic torsion. (English) Zbl 1044.53033
Reviewer: Serguey M. Pokas (Odessa)
Hyper-Kähler structures with torsion on nilpotent Lie groups. (English) Zbl 1028.22009
Reviewer: Anna Fino (Torino)
Harmonic twistor formalism and transgression on hyperkähler manifolds. (English) Zbl 1028.53048
Reviewer: Alberto Parmeggiani (Bologna)
KT and HKT geometries in strings and in black hole moduli spaces. (English) Zbl 1032.53038
Alekseevsky, Dmitri V. et al., Proceedings of the workshop on special geometric structures in string theory, Bonn, Germany, September 8-11, 2001. Bonn: Univ. Bonn, Mathematisches Institut, 19 p., electronic only (2001).
Reviewer: J.D.Zund (Las Cruces)
Almost complex submanifolds of quaternionic manifolds. (English) Zbl 1037.53029
Kozma, L. (ed.) et al., Steps in differential geometry. Proceedings of the colloquium on differential geometry, Debrecen, Hungary, July 25–30, 2000. Debrecen: Univ. Debrecen, Institute of Mathematics and Informatics. 23-38 (2001).
Reviewer: Jürgen Berndt (Hull)
Examples of hyper-Kähler connections with torsion. (English) Zbl 0989.53028
Marchiafava, S. (ed.) et al., Proceedings of the 2nd meeting on quaternionic structures in mathematics and physics, Roma, Italy, September 6-10, 1999. Dedicated to the memory of André Lichnerowicz and Enzo Martinelli. Rome: Dipartimento di Matematica “Guido Castelnuovo”, Università di Roma “La Sapienza”, 321-327, electronic only (2001).
Reviewer: Marian Munteanu (Iaşi)
MSC:
53C26
Geometry of hyper-Kähler connections with torsion. (English) Zbl 0993.53016
Reviewer: Vicente Cortés (Bonn)
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