Geometry of Lagrangian and Legendrian 2-web

Serge Tabachnikov

doi:10.1016/0926-2245(93)90004-K

Geometry of Lagrangian and Legendrian 2-web

Serge Tabachnikov

Research output: Contribution to journal › Article › peer-review

9 Scopus citations

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 language	English (US)
Pages (from-to)	265-284
Number of pages	20
Journal	Differential Geometry and its Applications
Volume	3
Issue number	3
DOIs	https://doi.org/10.1016/0926-2245(93)90004-K
State	Published - Sep 1993

All Science Journal Classification (ASJC) codes

Analysis
Geometry and Topology
Computational Theory and Mathematics

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10.1016/0926-2245(93)90004-K

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.",

author = "Serge Tabachnikov",

year = "1993",

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doi = "10.1016/0926-2245(93)90004-K",

language = "English (US)",

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journal = "Differential Geometry and its Applications",

issn = "0926-2245",

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T1 - Geometry of Lagrangian and Legendrian 2-web

AU - Tabachnikov, Serge

PY - 1993/9

Y1 - 1993/9

N2 - 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.

AB - 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.

UR - https://www.scopus.com/pages/publications/43949168776

UR - https://www.scopus.com/pages/publications/43949168776#tab=citedBy

U2 - 10.1016/0926-2245(93)90004-K

DO - 10.1016/0926-2245(93)90004-K

M3 - Article

AN - SCOPUS:43949168776

SN - 0926-2245

VL - 3

SP - 265

EP - 284

JO - Differential Geometry and its Applications

JF - Differential Geometry and its Applications

IS - 3

ER -

Geometry of Lagrangian and Legendrian 2-web

Abstract

All Science Journal Classification (ASJC) codes

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