Asset Details
Do you wish to reserve the book?
Pseudo-Dirac Structures
Hey, we have placed the reservation for you!
By the way, why not check out events that you can attend while you pick your title.
Oops! Something went wrong.
Looks like we were not able to place the reservation. Kindly try again later.
Are you sure you want to remove the book from the shelf?
Pseudo-Dirac Structures
Do you wish to request the book?
Pseudo-Dirac Structures
Please be aware that the book you have requested cannot be checked out. If you would like to checkout this book, you can reserve another copy
We have requested the book for you!
Your request is successful and it will be processed during the Library working hours. Please check the status of your request in My Requests.
Oops! Something went wrong.
Looks like we were not able to place your request. Kindly try again later.
Paper
Pseudo-Dirac Structures
2014
Overview
A Dirac structure is a Lagrangian subbundle of a Courant algebroid, \\(L\\), which is involutive with respect to the Courant bracket. In particular, \\(L\\) inherits the structure of a Lie algebroid. In this paper, we introduce the more general notion of a pseudo-Dirac structure: an arbitrary subbundle, \\(W\\), together with a pseudo-connection on its sections, satisfying a natural integrability condition. As a consequence of the definition, \\(W\\) will be a Lie algebroid. Allowing non-isotropic subbundles of \\(E\\) incorporates non-skew tensors and connections into Dirac geometry. Novel examples of pseudo-Dirac structures arise in the context of quasi-Poisson geometry, Lie theory, generalized Kähler geometry, and Dirac Lie groups, among others. Despite their greater generality, we show that pseudo-Dirac structures share many of the key features of Dirac structures. In particular, they behave well under composition with Courant relations.
Publisher
Cornell University Library, arXiv.org
Subject
