Conification of Kähler and hyper-Kähler manifolds

DOI10.1007/s00220-013-1812-0zbMath1300.53047arXiv1205.2964OpenAlexW2170604280MaRDI QIDQ380329

Thomas Mohaupt, Vicente Cortés, Dimitrii V. Alekseevsky

Publication date: 13 November 2013

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1205.2964

zbMATH Keywords

hyper-Kähler manifoldQK/HK correspondence

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Global differential geometry of Hermitian and Kählerian manifolds (53C55) Hyper-Kähler and quaternionic Kähler geometry, ``special geometry (53C26)

Related Items

Conification construction for Kähler manifolds and its application in \(c\)-projective geometry, Special geometry, Hessian structures and applications, Curvature of quaternionic Kähler manifolds with \(S^1\)-symmetry, ASK/PSK-correspondence and the \(r\)-map, Quaternionic Kähler metrics associated to special Kähler manifolds with mutually local variations of BPS structures, Special geometry of Euclidean supersymmetry. IV: The local c-map, S-duality and the universal isometries of q-map spaces, The para-HK/QK correspondence, On the hyperkähler/quaternion Kähler correspondence, Selfsimilar Hessian manifolds, Quaternion-Kähler manifolds near maximal fixed point sets of \(S^1\)-symmetries, Self-similar Hessian and conformally Kähler manifolds, A class of locally inhomogeneous complete quaternionic Kähler manifolds, Einstein metrics on bundles over Hyperkähler manifolds, Twist, elementary deformation and K/K correspondence in generalized geometry, Quarter-pinched Einstein metrics interpolating between real and complex hyperbolic metrics, The c-map on groups, Twist geometry of the c-map, The quaternionic/hypercomplex-correspondence, Construction of projective special Kähler manifolds, Special Vinberg cones and the entropy of BPS extremal black holes, Quaternionic Kähler metrics associated with special Kähler manifolds

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