Sasakian structures a foliated approach

• Autorzy: Wolak R. A.

Identyfikatory

DOI

10.1515/dema-2017-0008

• Języki publikacji: EN

Abstrakty

EN

Recent renewed interest in Sasakian manifolds is due mainly to the fact that they can provide examples of generalized Einstein manifolds, manifolds which are of great interest in mathematical models of various aspects of physical phenomena. Sasakian manifolds are odd dimensional counterparts of Kählerian manifolds to which they are closely related. The paper presents a foliated approach to Sasakian manifolds on which the author gave several lectures. The paper concentrates on cohomological properties of Sasakian manifolds and of transversely holomorphic and Kählerian foliations. These properties permit to formulate obstructions to the existence of Sasakian structures on compact manifolds.

Słowa kluczowe

EN

Sasakian structure; foliation; basic cohomology; contact metric structure; K-contact manifold

PL

struktura Sasakiego; foliacja; kohomologia; struktura kontaktowa metryczna; rozmaitość kontaktowa

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 2017
• Tom: Vol. 50, nr 1
• Strony: 72--82
• Opis fizyczny: Bibliogr. 19 poz.

Twórcy

autor

Wolak R. A.

• Wydzial Mathematyki i Informatyki, Uniwersytet Jagiellonski, Lojasiewicza 6,30-348 Krakow, Poland

Bibliografia

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Uwagi

PL

Opracowanie ze środków MNiSW w ramach umowy 812/P-DUN/2016 na działalność upowszechniającą naukę (zadania 2017).