Displaying similar documents to “Singularities of non-degenerate n-ruled (n + 1)-manifolds in Euclidean space”

A homological selection theorem implying a division theorem for Q-manifolds

Taras Banakh, Robert Cauty (2007)

Banach Center Publications

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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...

Special Kaehler manifolds: A survey

Cortés, Vincente

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This is a survey of recent contributions to the area of special Kähler geometry. A (pseudo-)Kähler manifold ( M , J , g ) is a differentiable manifold endowed with a complex structure J and a (pseudo-)Riemannian metric g such that i) J is orthogonal with respect to the metric g , ii) J is parallel with respect to the Levi Civita connection D . A special Kähler manifold ( M , J , g , ) is a Kähler manifold ( M , J , g ) together with a flat torsionfree connection such that i) ω = 0 , where ω = g ( . , J . ) is the Kähler form and ii) is symmetric....