For any transversal-Courant algebroid E on a foliated manifold (M, F), and for any choice of a decomposition TM = TF circle plus Q, we construct a Courant algebroid structure on TF circle plus T*F circle plus E.
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Jilin Univ, Dept Math, Changchun 130012, Jilin, Peoples R ChinaJilin Univ, Dept Math, Changchun 130012, Jilin, Peoples R China
Sheng, Yunhe
Xu, Xiaomeng
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Peking Univ, Sch Math Sci, Beijing 100871, Peoples R China
Peking Univ, Beijing Int Ctr Math Res, Beijing 100871, Peoples R ChinaJilin Univ, Dept Math, Changchun 130012, Jilin, Peoples R China
Xu, Xiaomeng
Zhu, Chenchang
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Georg August Univ Gottingen, Math Inst, D-37073 Gottingen, Niedersachsen, GermanyJilin Univ, Dept Math, Changchun 130012, Jilin, Peoples R China