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Annali di Matematica Pura ed Applicata : Volume 173, Issue 1, December 1997

Eennio De Giorgi

Existence theorems for nonlinear evolution inclusions

Representation theorem for the solutions of equations with the turning point of infinite order

Existence and nonexistence of homotopy formulas for the Mizohata complex

Steady flow of a viscous incompressible fluid in an unbounded «funnel-shaped» domain

Sums of generators of analytic semigroups and multivalued linear operators

On a unifying approach to decomposition theorems of Yosida-Hewitt type

Anatomy of the shape Hessian via lie brackets

One-dimensional non-coercive problems of the calculus of variations

Asymptotic analysis of contact discontinuities

Connected sum of compact analytic hypersurfaces

Dynamics of commuting systems on two-dimensional manifolds

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Function spacesW 1,p,BV,N α, p characterized by the motions of ℝ n

A vortex free boundary problem: Existence and uniqueness results for the physical solution

Groups with the weak minimal condition for non-subnormal subgroups

Global bifurcation of fixed points and the Poincaré translation operator on manifolds

On the defect of an analytic disc

Correction and addenda to: On the surjectivity of the exponential map for certain lie groups

Subharmonic solutions of nonlinear wave equations onS n

An equivalence theorem on properties A, B for third order differential equations

Imbeddings of polyhedra in 3-manifolds

Annali di Matematica Pura ed Applicata : Volume 172

On the defect of an analytic disc

Content Provider	Springer Nature Link
Author	Rossi, Patrizia
Copyright Year	1997
Abstract	Although the concept of defect of an analytic disc attached to a generic manifold of Cn seems to play a merely technical role, it turns out to be a rather deep and fruitful notion for the extendability of CR functions defined on the manifold. In this paper we give a new geometric description of defect, drawing attention to the behaviour of the interior points of the disc by infinitesimal perturbations. For hypersurfaces a stronger result holds because these perturbations describe a complex vector space of Cn. For a big analytic disc the defect does not need to be smaller than the codimension of the manifold. Indeed we show by an example that it can be arbitrarily large independently of the codimension of the manifold. Nevertheless we also prove that the defect is always finite. In the case of a hypersurface we give a geometric upper bound for the defect.
Starting Page	333
Ending Page	349
Page Count	17
File Format	PDF
ISSN	03733114
Journal	Annali di Matematica Pura ed Applicata
Volume Number	173
Issue Number	1
e-ISSN	16181891
Language	English
Publisher	Springer-Verlag
Publisher Date	1997-01-01
Publisher Place	Berlin, Heidelberg
Access Restriction	One Nation One Subscription (ONOS)
Subject Keyword	Mathematics
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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