STATIONARY DISCS AND GEOMETRY OF CR MANIFOLDS OF CODIMENSION TWO-Reference-Cited by-同舟云学术

STATIONARY DISCS AND GEOMETRY OF CR MANIFOLDS OF CODIMENSION TWO

Published:2001-11 Issue:08 Volume:12 Page:877-890
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

SUKHOV A.¹,TUMANOV A.²

Affiliation:

1. Univesrité des Sciences et Technologies de Lille, Laboratoire d'Arithmétique — Géométrie — Analyse — Topologie, Unité Mixte de Recherche 8524, U.F.R. de Mathématique, 59655 Villeneuve d'Ascq, Cedex, France

2. Department of Mathematics, University of Illinois, Urbana IL, 61801, USA

Abstract

We give a construction of stationary discs and the indicatrix for manifolds of higher codimension which is a partial analog of L. Lempert's theory of stationary discs for strictly convex hypersurfaces. This leads to new invariants of the CR structure in higher codimension linked with the contact structure of the conormal bundle.

Publisher

World Scientific Pub Co Pte Lt

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X01001040

Reference7 articles.

1. HIGHER DIMENSIONAL RIEMANN MAPS

2. REGULARITY OF THE BOUNDARIES OF ANALYTIC SETS

3. Perturbation by analytic discs along maximal real submanifolds ofC N

4. Perturbing analytic discs attached to maximal real submanifolds of CN

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