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- W966321832 abstract "SummaryWe introduce the notion of a tt*-bundle. It provides a simple definition, purely in terms of real differential geometry, for geometric structures which are solutions of a general version of the equations of topological-anti a topological fusion considered by Cecotti–Vafa, Dubrovin and Hertling. Then we give a simple characterization of the tangent bundles of special complex and special Kähler manifolds as particular types of tt*-bundles. We illustrate the relation between metric tt*-bundles of rank r and pluriharmonic maps into the pseudo-Riemannian symmetric spaceGL(r)/O(p, q) in the case of a specialKähler manifold of signature (p, q) = (2k, 2l). It is shown that the pluriharmonic map coincides with the dual Gauss map, which is a holomorphic map into the pseudo-Hermitian symmetric space Sp(ℝ2n )/U(k, l) ⊂ SL(2n)/SO(p, q) ⊂ GL(2n)/O(p, q), where n = k + l." @default.
- W966321832 created "2016-06-24" @default.
- W966321832 creator A5060257355 @default.
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- W966321832 date "2007-07-27" @default.
- W966321832 modified "2023-10-15" @default.
- W966321832 title "Topological-antitopological Fusion Equations, Pluriharmonic Maps and Special Kähler Manifolds" @default.
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- W966321832 doi "https://doi.org/10.1007/0-8176-4424-5_5" @default.
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