Linear connections and secondary characteristic classes of Lie algebroids

Uproszczony widok
dc.contributor.authorBalcerzak, Bogdan
dc.contributor.reviewerWolak, Robert A.
dc.contributor.reviewerSasin, Wiesław
dc.date.accessioned2021-12-30T08:00:21Z
dc.date.available2021-12-30T08:00:21Z
dc.date.issued2021
dc.descriptionScientic Editor in the Faculty of Technical Physics, Information Technology and Applied Mathematics of the Lodz University of Technology dr hab. inż. Aneta Poniszewska-Marańdapl_PL
dc.description.abstractLie algebroids appear in many structures related to geometry. Although the motivations for defining the concept of Lie algebroid come from Lie groupoids [74], on the one hand, we can view them as some generalizations of a tangent bundle or integrable distribution on a differential manifold, and on the other hand, as a generalization of Lie algebra. Further, the structures of the Lie algebroid can be generalized to, for example, structures in which the Lie bracket does not satisfy the Jacobi condition or at all the structure without the Lie bracket, however, equipped with a morphism acting from a given vector bundle into a tangent bundle (called an anchor). A vector bundle equipped with an anchor allows us to introduce the concept of connection. Our considerations focus on linear connections and their properties, and on the existence of a connection in a given vector bundle compatible with an existing metric structure.[...]en_EN
dc.identifier.citationBalcerzak B., Linear connections and secondary characteristic classes of Lie algebroids, Seria: Monografie Politechniki Łódzkiej; Nr 2181, Wydawnictwo Politechniki Łódzkiej, Łódź 2021, ISBN 978-83-66741-27-0, doi: 10.34658/9788366741287.
dc.identifier.doi10.34658/9788366741287
dc.identifier.isbn978-83-66741-27-0
dc.identifier.urihttp://hdl.handle.net/11652/4161
dc.identifier.urihttps://doi.org/10.34658/9788366741287
dc.language.isoenen_EN
dc.publisherWydawnictwo Politechniki Łódzkiejpl_PL
dc.publisherLodz University of Technology Pressen_EN
dc.relation.ispartofseriesMonografie Politechniki Łódzkiej ; Nr 2181pl_PL
dc.relation.ispartofseriesLodz University of Technology Monographs ; 2181en_EN
dc.rightsDla wszystkich w zakresie dozwolonego użytkupl_PL
dc.rightsFair use conditionen_EN
dc.rights.licenseLicencja PŁpl_PL
dc.rights.licenseLUT Licenseen_EN
dc.subjectalgebroidy Liegopl_PL
dc.subjectkoneksje liniowepl_PL
dc.subjectgeometriapl_PL
dc.subjectLie algebroidspl_PL
dc.subjectlinear connectionspl_PL
dc.subjectgeometrypl_PL
dc.titleLinear connections and secondary characteristic classes of Lie algebroidsen_EN
dc.typeKsiążka - monografiapl_PL
dc.typeBook - monographen_EN

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