Generalized contact bundles

Luca Vitagliano, Aïssa Wade

Research output: Contribution to journalArticle

10 Citations (Scopus)

Abstract

In this Note, we propose a line bundle approach to odd-dimensional analogues of generalized complex structures. This new approach has three main advantages: (1) it encompasses all existing ones; (2) it elucidates the geometric meaning of the integrability condition for generalized contact structures; (3) in light of new results on multiplicative forms and Spencer operators [8], it allows a simple interpretation of the defining equations of a generalized contact structure in terms of Lie algebroids and Lie groupoids.

Original languageEnglish (US)
Pages (from-to)313-317
Number of pages5
JournalComptes Rendus Mathematique
Volume354
Issue number3
DOIs
StatePublished - Mar 1 2016

Fingerprint

Contact Structure
Bundle
Contact
Lie Algebroids
Groupoids
Line Bundle
Complex Structure
Integrability
Multiplicative
Odd
Analogue
Operator
Interpretation
Meaning
Form

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

Cite this

Vitagliano, Luca ; Wade, Aïssa. / Generalized contact bundles. In: Comptes Rendus Mathematique. 2016 ; Vol. 354, No. 3. pp. 313-317.
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Generalized contact bundles. / Vitagliano, Luca; Wade, Aïssa.

In: Comptes Rendus Mathematique, Vol. 354, No. 3, 01.03.2016, p. 313-317.

Research output: Contribution to journalArticle

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