Generic Bifurcations of Varieties II.
Displaying 81 – 100 of 285
Generic deformations of Lagrangian and Legendrian maps
Sergey Stanchenko (1996)
Banach Center Publications
Geometric approach to Goursat flags
Richard Montgomery, Michail Zhitomirskii (2001)
Annales de l'I.H.P. Analyse non linéaire
Geometric mean curvature lines on surfaces immersed in
Ronaldo Garcia, Jorge Sotomayor (2002)
Annales de la Faculté des sciences de Toulouse : Mathématiques
Geometric objects with finitely determined germs
Andrzej Zajtz (1988)
Annales Polonici Mathematici
Geometry and representation of the singular symplectic forms
Wojciech Domitrz, Stanisław Janeczko, Zbigniew Pasternak-Winiarski (2003)
Banach Center Publications
In this paper we show to what extent the closed, singular 2-forms are represented, up to the smooth equivalence, by their restrictions to the corresponding singularity set. In the normalization procedure of the singularity set we find the sufficient conditions for the given closed 2-form to be a pullback of the classical Darboux form. We also find the classification list of simple singularities of the maximal isotropic submanifold-germs in the codimension one Martinet's singular symplectic structures....
Geometry of some simple nonlinear differential operators
H. P. Mc Kean, J. C. Scovel (1986)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
Germes de difféomorphismes et de champs de vecteurs en classe de différentiabilité finie
F. Dumortier, Robert Roussarie (1983)
Annales de l'institut Fourier
Pour tout triplet d’entiers tels que , se pose la question d’étudier les germes de difféomorphismes ou de champs de vecteurs sur , de classe , -déterminés en classe , c’est-à-dire respectivement conjugués ou équivalents en classe , à tout germe ayant la même classe et le même -jet. Cette question est abordée ici, avec quelque généralité en dimension 2 et pour les germes de champs de vecteurs de codimension 2, en dimension 3 et 4. Une conséquence de cette dernière étude est l’existence...
Global Families of Local Unfoldings.
Klaus Jänich (1979)
Mathematische Annalen
Global properties of symmetric competition models with riddling and blowout phenomena.
Bischi, Gian-Italo, Gardini, Laura (2000)
Discrete Dynamics in Nature and Society
Global stability for diagrams of differentiable applications
Luis Antonio Favaro, C. M. Mendes (1986)
Annales de l'institut Fourier
In this paper, we give some examples which point to the non-existence of -global stable diagrams , compact. If : is fixed we define the -equivalence for maps and the corresponding -stability. The globalization procedure works and we can compare the -stability, -infinitesimal stability, and -homotopical stability. Also we give some characterization theorems for lower dimensions.
Gradient horizontal de fonctions polynomiales
Si Tiep Dinh, Krzysztof Kurdyka, Patrice Orro (2009)
Annales de l’institut Fourier
Nous étudions les trajectoires du gradient sous-riemannien (appellé horizontal) de fonctions polynômes. Dans ce cadre l’inégalité de Łojasiewicz n’est pas valide et une trajectoire du gradient horizontal peut être de longueur infinie, et peut même s’accumuler sur une courbe fermée. Nous montrons que ces comportement sont exceptionnels ; et que, pour une fonction générique les trajectoires de son gradient horizontal ont des propriétés similaires au cas du gradient riemannien. Pour obtenir la finitude...
How to Get around a Simple Quadratic Fold.
F. Brezzi, M. Cornalba, A. Di Carlo (1986)
Numerische Mathematik
Implicit function theorem for locally blow-analytic functions
Laurentiu Paunescu (2001)
Annales de l’institut Fourier
In this paper we prove the implicit function theorem for locally blow-analytic functions, and as an interesting application of using blow-analytic homeomorphisms, we describe a very easy way to resolve singularities of analytic curves.
Infinite Determincacy of Equivariant Map-Germs.
C.T.C. Wall (1985)
Mathematische Annalen
Inflated mappings for singularities of codimension
Vladimír Janovský, Drahoslava Janovská (1987)
Commentationes Mathematicae Universitatis Carolinae
Integral closure of modules and Whitney equisingularity.
Terence Gaffney (1992)
Inventiones mathematicae
Integration over homogeneous spaces for classical Lie groups using iterated residues at infinity
Magdalena Zielenkiewicz (2014)
Open Mathematics
Using the Berline-Vergne integration formula for equivariant cohomology for torus actions, we prove that integrals over Grassmannians (classical, Lagrangian or orthogonal ones) of characteristic classes of the tautological bundle can be expressed as iterated residues at infinity of some holomorphic functions of several variables. The results obtained for these cases can be expressed as special cases of one formula involving the Weyl group action on the characters of the natural representation of...
Intrinsic differentials in buckling theory-Cuspoids
C. Lazopoulos, S. Markatis (1986)
Δελτίο της Ελληνικής Μαθηματικής Εταιρίας
Invariants of equidimensional maps
Joachim H. Rieger (2003)
Banach Center Publications
To a given complex-analytic equidimensional corank-1 germ f, one can associate a set of integer 𝓐-invariants such that f is 𝓐-finite if and only if all these invariants are finite. An analogous result holds for corank-1 germs for which the source dimension is smaller than the target dimension.