Compact manifolds with exceptional holonomy.
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Joyce, Dominic (1998)
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We prove that a space M with Disjoint Disk Property is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. This implies that the product M × I² of a space M with the disk is a Q-manifold if and only if M × X is a Q-manifold for some C-space X. The proof of these theorems exploits the homological characterization of Q-manifolds due to Daverman and Walsh, combined with the existence of G-stable points in C-spaces. To establish the existence of such points we prove (and...
Rezaii, M.M., Barzegari, M. (2006)
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Cortés, Vincente
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This is a survey of recent contributions to the area of special Kähler geometry. A (pseudo-)Kähler manifold is a differentiable manifold endowed with a complex structure and a (pseudo-)Riemannian metric such that i) is orthogonal with respect to the metric ii) is parallel with respect to the Levi Civita connection A special Kähler manifold is a Kähler manifold together with a flat torsionfree connection such that i) where is the Kähler form and ii) is symmetric....