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Special issue: WUPES’12

Jiřina Vejnarová, Václav Kratochvíl (2014)

Kybernetika

This special issue of the Kybernetika Journal arose from the 9th workshop on uncertainty processing, WUPES’12, held in Mariánské Lázně, Czech Republic, in September 2012. In the selection process for this special issue, we tried to capture the rich variety of the presented methodological approaches. The quality of the selected papers was judged by reviewers in accord with the usual practice of Kybernetika. After a careful selection, 7 papers were included in the special issue. There are, however,...

Special Kaehler manifolds: A survey

Cortés, Vincente (2002)

Proceedings of the 21st Winter School "Geometry and Physics"

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. A holomorphic...

Spectral theory of invariant operators, sharp inequalities, and representation theory

Branson, Thomas (1997)

Proceedings of the 16th Winter School "Geometry and Physics"

The paper represents the lectures given by the author at the 16th Winter School on Geometry and Physics, Srni, Czech Republic, January 13-20, 1996. He develops in an elegant manner the theory of conformal covariants and the theory of functional determinant which is canonically associated to an elliptic operator on a compact pseudo-Riemannian manifold. The presentation is excellently realized with a lot of details, examples and open problems.

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