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math.DG2014★ 1 cited
The Free Courant Algebroid
Benoit Jubin, Norbert Poncin, Kyousuke Uchino
We introduce the category of generalized Courant algebroids and show that it admits a free object on any anchored vector bundle. The free Courant algebroid is built from two compon…
math.DG2004
Lie algebroid analog of Courant algebroid theory
Kyousuke Uchino
This paper has been withdrawn by UCHINO.
math.DG2002★ 16 cited
Remarks on the Definition of a Courant Algebroid
Kyousuke Uchino
The notion of Courant algebroid was introduced by Liu, Weinstein and Xu in 1997. Its definition consists of five axioms and an assumption for a derivation. It is shown that two of…