Yu. V. Chekanov, “Critical Points of Quasi-Functions and Generating Families of Legendrian Manifolds”, Funktsional. Anal. i Prilozhen., 30:2 (1996), 56–69; Funct. Anal. Appl., 30:2 (1996), 118

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Funktsional'nyi Analiz i ego Prilozheniya, 1996, Volume 30, Issue 2, Pages 56–69
DOI: https://doi.org/10.4213/faa521 (Mi faa521)

This article is cited in 57 scientific papers (total in 57 papers)

Critical Points of Quasi-Functions and Generating Families of Legendrian Manifolds

Yu. V. Chekanov

Moscow Center for Continuous Mathematical Education

Full-text PDF (1439 kB) Citations (57)

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DOI: https://doi.org/10.4213/faa521

Received: 30.05.1995

English version:
Functional Analysis and Its Applications, 1996, Volume 30, Issue 2, Pages 118–128
DOI: https://doi.org/10.1007/BF02509451

Bibliographic databases:

Document Type: Article

UDC: 517.9

Language: Russian

Citation: Yu. V. Chekanov, “Critical Points of Quasi-Functions and Generating Families of Legendrian Manifolds”, Funktsional. Anal. i Prilozhen., 30:2 (1996), 56–69; Funct. Anal. Appl., 30:2 (1996), 118–128

Citation in format AMSBIB

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Linking options:

https://www.mathnet.ru/eng/faa521

https://doi.org/10.4213/faa521

https://www.mathnet.ru/eng/faa/v30/i2/p56

This publication is cited in the following 57 articles:

Jakob Hedicke, “Lorentzian distance functions in contact geometry”, J. Topol. Anal., 16:02 (2024), 205
Wenyuan Li, “Existence of generating families on Lagrangian cobordisms”, Math. Ann., 2024
Pierre-Alexandre Arlove, “Geodesics of norms on the contactomorphisms group of ${\mathbb {R}}^{2n}\times S^1$ ”, J. Fixed Point Theory Appl., 25:4 (2023)
Dylan Cant, “Remarks on the oscillation energy of Legendrian isotopies”, Geom Dedicata, 217:5 (2023)
Lev Buhovsky, Vincent Humilière, Sobhan Seyfaddini, “An Arnold-type principle for non-smooth objects”, J. Fixed Point Theory Appl., 24:2 (2022)
Georgios Dimitroglou Rizell, “Families of Legendrians and Lagrangians with unbounded spectral norm”, J. Fixed Point Theory Appl., 24:2 (2022)
Claude Viterbo, “Symplectic Homogenization”, Journal de l'École polytechnique — Mathématiques, 10 (2022), 67
Allais S., “A Contact Camel Theorem”, Int. Math. Res. Notices, 2021:17 (2021)
Alvarez-Gavela D., Igusa K., “A Legendrian Turaev Torsion Via Generating Families”, J. Ecole Polytech.-Math., 8 (2021), 57–119
Simon Allais, “A Contact Camel Theorem”, International Mathematics Research Notices, 2021:17 (2021), 13153
Chernov V., Nemirovski S., “Interval Topology in Contact Geometry”, Commun. Contemp. Math., 22:5 (2020), 1950042
Maÿlis Limouzineau, “On Legendrian cobordisms and generating functions”, J. Knot Theory Ramifications, 29:03 (2020), 2050008
Georgios Dimitroglou Rizell, Michael G. Sullivan, “An Energy–Capacity inequality for Legendrian submanifolds”, J. Topol. Anal., 12:03 (2020), 547
Ciriza E., “Bifurcations on Contact Manifolds”, J. Fixed Point Theory Appl., 20:3 (2018)
Rutherford D., Sullivan M.G., “Generating Families and Augmentations For Legendrian Surfaces”, Algebr. Geom. Topol., 18:3 (2018), 1675–1731
Colin V., Ferrand E., Pushkar P., “Positive Isotopies of Legendrian Submanifolds and Applications”, Int. Math. Res. Notices, 2017, no. 20, 6231–6254
Casals R., Presas F., Sandon Sh., “Small positive loops on overtwisted manifolds”, J. Symplectic Geom., 14:4 (2016), 1013–1031
Rizell G.D., “Legendrian ambient surgery and Legendrian contact homology”, J. Symplectic Geom., 14:3 (2016), 811–901
Ziltener F., “On the Strict Arnold Chord Property and Coisotropic Submanifolds of Complex Projective Space”, Int. Math. Res. Notices, 2016, no. 3, 795–826
Bourgeois F., Sabloff J.M., Traynor L., “Lagrangian Cobordisms Via Generating Families: Construction and Geography”, Algebr. Geom. Topol., 15:4 (2015), 2439–2477

Citing articles in Google Scholar: Russian citations, English citations
Related articles in Google Scholar: Russian articles, English articles

Functional Analysis and Its Applications

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