Found 73 Documents (Results 1–73)
Einstein metrics on bundles over Hyperkähler manifolds. (English) Zbl 1528.53051
Reviewer: Alejandro Gil-García (Hamburg)
Solution of the qc Yamabe equation on a 3-Sasakian manifold and the quaternionic Heisenberg group. (English) Zbl 1527.53033
Reviewer: Juan Rojo (Madrid)
Symmetries, tensors, and the Horrocks bundle. (English) Zbl 1501.53067
Reviewer: Amedeo Altavilla (Ancona)
Very stable Higgs bundles, equivariant multiplicity and mirror symmetry. (English) Zbl 1497.14022
Reviewer: Georgios Kydonakis (Heidelberg)
Instanton bundles vs Ulrich bundles on projective spaces. (English) Zbl 1469.14091
Reviewer: Joan Pons-Llopis (Maó)
Yang-Mills flow on special-holonomy manifolds. (English) Zbl 1475.53108
Reviewer: Anna Fino (Torino)
Hyperkähler cones and instantons on quaternionic Kähler manifolds. (English) Zbl 1456.53040
Reviewer: Gabor Etesi (Budapest)
Projective geometry and the quaternionic Feix-Kaledin construction. (English) Zbl 1425.53052
Reviewer: Mihail Banaru (Smolensk)
Sasakian quiver gauge theories and instantons on cones over round and squashed seven-spheres. (English) Zbl 1417.81151
A Bonnet-Myers type theorem for quaternionic contact structures. (English) Zbl 1422.53035
Reviewer: Nicolina Istrati (Tel Aviv)
Existence of HKT metrics on hypercomplex manifolds of real dimension 8. (English) Zbl 1390.53046
Reviewer: Antonio De Nicola (Fisciano)
Moduli of autodual instanton bundles. (English) Zbl 1371.14017
Reviewer: Edoardo Ballico (Povo)
The Lichnerowicz and Obata first eigenvalue theorems and the Obata uniqueness result in the Yamabe problem on CR and quaternionic contact manifolds. (English) Zbl 1325.53041
Reviewer: Nathaniel Eldredge (Greeley)
ADHM construction of perverse instanton sheaves. (English) Zbl 1316.14024
Reviewer: Alfonso Zamora (Lisboa)
The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold. (English) Zbl 1303.53060
Quaternionic contact Einstein structures and the quaternionic contact. (English) Zbl 1307.53039
Mem. Am. Math. Soc. 1086, v, 79 p. (2014).
Reviewer: Weihuan Chen (Beijing)
A Lichnerowicz-type result on a seven-dimensional quaternionic contact manifold. (English) Zbl 1474.53202
The sharp lower bound of the first eigenvalue of the sub-Laplacian on a quaternionic contact manifold in dimension seven. (English) Zbl 1285.53029
Reviewer: Mohammed El Aïdi (Bogotá)
Calibrations in hyper-Kähler geometry. (English) Zbl 1268.53062
Reviewer: Ljudmila Kamenova (New York)
Subvarieties of hypercomplex manifolds with holonomy in \(SL(n,\mathbb H)\). (English) Zbl 1251.53028
Yang-Mills instantons on cones and sine-cones over nearly Kähler manifolds. (English) Zbl 1301.81128
Independent parameters for special instanton bundles on \(\mathbb P^{2n+1}\). (English) Zbl 1228.14037
Reviewer: N. Mohan Kumar (St. Louis)
Extremals for the Sobolev inequality on the seven-dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem. (English) Zbl 1196.53023
Reviewer: Peibiao Zhao (Nanjing)
Quaternionic Monge-Ampère equation and Calabi problem for HKT-manifolds. (English) Zbl 1193.53118
Reviewer: Ioan Pop (Iaşi)
Conformal quaternionic contact curvature and the local sphere theorem. (English) Zbl 1194.53044
Reviewer: Beniamino Cappelletti Montano (Bari)
MSC:
53C26
Seiberg-Witten like equations on 8-manifolds with structure group Spin(7). (English) Zbl 1187.53049
Reviewer: Pierre Anglès (Toulouse)
Quaternionic connections, induced holomorphic structures and a vanishing theorem. (English) Zbl 1157.53341
The twistor sections on the Wolf spaces. (English) Zbl 1154.53028
Reviewer: T. Okubo (Victoria)
MSC:
53C26
Atiyah-Drinfeld-Hitchin-Manin construction of framed instanton sheaves. (English) Zbl 1143.14036
Reviewer: Thomas Koeppe (Edinburgh)
MSC:
14J60
14F05
The twistor spaces of a para-quaternionic Kähler manifold. (English) Zbl 1177.53047
Reviewer: Ilka Agricola (Marburg)
On the semistability of instanton sheaves over certain projective varieties. (English) Zbl 1131.14046
Reviewer: Edoardo Ballico (Povo)
MSC:
14J60
14F05
Plurisubharmonic functions on hypercomplex manifolds and HKT-geometry. (English) Zbl 1106.32023
Reviewer: Marek Jarnicki (Kraków)
Manifolds with an \(SU(2)\)-action on the tangent bundle. (English) Zbl 1110.53022
Reviewer: Liviu Ornea (Bucureşti)
Hyper-para-Hermitian manifolds with torsion. (English) Zbl 1092.53022
Reviewer: Liviu Ornea (Bucureşti)
Seiberg-Witten-like equations on 7-manifolds with \(G_2\)-structure. (English) Zbl 1083.57040
MSC:
57R57
Quaternionic analytic torsion. (English) Zbl 1044.53033
Reviewer: Serguey M. Pokas (Odessa)
Dimensional reduction and moment maps. (English) Zbl 1007.53025
Reviewer: Vyacheslav S.Kalnitsky (St.Peterburg)
Representation theory and ADHM-construction on quaternion symmetric spaces. (English) Zbl 0980.53037
Reviewer: A.Szybiak (Waterloo/Ontario)
Intersecting brane geometries. (English) Zbl 0985.81110
MSC:
81T30
Symplectic small deformations of special instanton bundle on \(\mathbb{P}^{2n + 1}\). (English) Zbl 0983.14021
Reviewer: P.E.Newstead (Liverpool)
A hyper-Kähler Fourier transform. (English) Zbl 0951.32018
Reviewer: Alfred Aeppli (Minneapolis)
Real and complex ’t Hooft instanton bundles over \(\mathbb{P}^{2n+1}(\mathbb{C})\). – Appendix. (English) Zbl 0955.14011
A generalization of the notion of instanton. (English) Zbl 0902.53036
Reviewer: D.V.Alekseevsky (Moskva)
Moduli of 1-instantons on \(G_ 2(\mathbb{C}^{n+2})\). (English) Zbl 0880.53024
Reviewer: J.Davidov (Sofia)
Vanishing theorem for cohomology groups of \(c_ 2\)-self-dual bundles on quaternionic Kähler manifolds. (English) Zbl 0839.53021
Reviewer: N.Bokan (Beograd)
Topological quantum field theory in quaternionic geometry. (English) Zbl 0818.53044
Reviewer: A.Frydryszak (Wrocław)
(Anti)self-dual gauge fields in dimension \(d\geq 4\). (English. Russian original) Zbl 0802.58066
Theor. Math. Phys. 94, No. 2, 225-242 (1993); translation from Teor. Mat. Fiz. 94, No. 2, 316-342 (1993).
Reviewer: V.Balan (Bucureşti)
Quaternionic, quaternionic Kähler, and hyper-Kähler supermanifolds. (English) Zbl 0769.53037
Reviewer: M.Malakhal’tsev (Kazan’)
Rigidity of \(c_ 1\)-self-dual connections on quaternionic Kähler manifolds. (English) Zbl 0767.53048
Einstein metrics and quaternionic Kähler manifolds. (English) Zbl 0765.53037
Reviewer: McKenzie Y.Wang (Hamilton/Ont.)
On weakly stable Yang-Mills fields over positively pinched manifolds and certain symmetric spaces. (English) Zbl 0761.53018
MSC:
53C07
Moduli spaces of \(B_ 2\)-connections over quaternionic Kähler manifolds. (English) Zbl 0642.53072
Reviewer: T.Okubo
MSC:
53C55
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