Geometry of Lagrangian and Legendrian 2-web

Research output: Contribution to journalArticle

5 Citations (Scopus)

Abstract

Four types of web structures are considered: a 2-web with Lagrangian leaves in a symplectic manifold, a 2-web with Legendrian leaves in a contact manifold, a 2-web with leaves of complimentary dimensions in a manifold with a fixed volume form, and a 3-web with n- dimensional leaves in a 2n-dimensional manifold. In each case a connection is constructed, natural with respect to structure-preserving maps.

Original languageEnglish (US)
Pages (from-to)265-284
Number of pages20
JournalDifferential Geometry and its Applications
Volume3
Issue number3
DOIs
StatePublished - Sep 1993

Fingerprint

Geometry
Leaves
Contact Manifold
Symplectic Manifold
n-dimensional

All Science Journal Classification (ASJC) codes

  • Analysis
  • Geometry and Topology
  • Computational Theory and Mathematics

Cite this

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title = "Geometry of Lagrangian and Legendrian 2-web",
abstract = "Four types of web structures are considered: a 2-web with Lagrangian leaves in a symplectic manifold, a 2-web with Legendrian leaves in a contact manifold, a 2-web with leaves of complimentary dimensions in a manifold with a fixed volume form, and a 3-web with n- dimensional leaves in a 2n-dimensional manifold. In each case a connection is constructed, natural with respect to structure-preserving maps.",
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language = "English (US)",
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Geometry of Lagrangian and Legendrian 2-web. / Tabachnikov, Serge.

In: Differential Geometry and its Applications, Vol. 3, No. 3, 09.1993, p. 265-284.

Research output: Contribution to journalArticle

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