The 1-jet determination of stationary discs attached to generic CR submanifolds

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dc.contributor.authorBertrand, Florian
dc.contributor.authorMeylan, Francine
dc.contributor.departmentDepartment of Mathematics
dc.contributor.facultyFaculty of Arts and Sciences (FAS)
dc.contributor.institutionAmerican University of Beirut
dc.date.accessioned2025-01-24T11:24:40Z
dc.date.available2025-01-24T11:24:40Z
dc.date.issued2022
dc.description.abstractThe existence of a non-defective stationary disc attached to a non-degenerate model quadric in CN is a necessary condition to ensure the unique 1-jet determination of the lifts of a key family of stationary discs [6]. In this paper, we give an elementary proof of the equivalence when the model quadric is strongly pseudoconvex, recovering a result of Tumanov [14]. Our proof is based on the explicit expression of stationary discs, and opens up a conjecture for the unique 1-jet determination to hold when the model is not necessarily strongly pseudoconvex. © 2022, The Author(s), under exclusive licence to Springer Nature Switzerland AG.
dc.identifier.doihttps://doi.org/10.1007/s40627-022-00102-6
dc.identifier.eid2-s2.0-85135465518
dc.identifier.urihttp://hdl.handle.net/10938/26088
dc.language.isoen
dc.publisherSpringer International Publishing
dc.relation.ispartofComplex Analysis and its Synergies
dc.sourceScopus
dc.subjectAnalysis
dc.subjectMathematics (miscellaneous)
dc.subjectNumerical analysis
dc.titleThe 1-jet determination of stationary discs attached to generic CR submanifolds
dc.typeArticle

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