Armenian Journal of Mathematics, 8(1)
2016; 77–85
Shared with The Gufo

Fr ́echet Lie Algebroids and TheirCohomology

Kaveh Eftekharinasab*

Received: 2024-12-18 · Published: 2016-06-07

© 2016 The Author(s) and the original publisher.

CC BY 4.0 This work is licensed under a Creative Commons Attribution 4.0 International License.
Shared article.

Originally published in Armenian Journal of Mathematics, 8(1), 2016.

Original title
Fr ́echet Lie Algebroids and TheirCohomology
Author
Kaveh Eftekharinasab
Source journal
Armenian Journal of Mathematics, 8(1)
Published
2016-06-07
Licence
Creative Commons Attribution 4.0 International
Original
https://armjmath.sci.am/index.php/ajm/article/view/125

Abstract

We define Lie and Courant algebroids on Fr ́echetmanifolds. Moreover, we construct a Dirac structure on the gen-eralized tangent bundle of a Fr ́echet manifold and show that itinherits a Fr ́echet Lie algebroid structure. We show that the Liealgebroid cohomology of theB-cotangent bundle Lie algebroidof a weakly symplectic Fr ́echet manifoldMis the Lichnerowicz-Poisson cohomology ofM
1 / ? 100% Open in new tab Download Cite

Loading the full text…

Download Follow Updates