A characterization of shortest geodesics on surfaces.
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Displaying 1 – 20 of 78
A proof of the Chern-Lashof conjecture in dimensions greater than five.
R.W. Sharpe (1989)
Commentarii mathematici Helvetici
A proof of the two-dimensional Markus-Yamabe Stability Conjecture and a generalization
Robert Feßler (1995)
Annales Polonici Mathematici
The following problem of Markus and Yamabe is answered affirmatively: Let f be a local diffeomorphism of the euclidean plane whose jacobian matrix has negative trace everywhere. If f(0) = 0, is it true that 0 is a global attractor of the ODE dx/dt = f(x)? An old result of Olech states that this is equivalent to the question if such an f is injective. Here the problem is treated in the latter form by means of an investigation of the behaviour of f near infinity.
An Arzela-Ascoli theorem for immersed submanifolds
Graham Smith (2007)
Annales de la faculté des sciences de Toulouse Mathématiques
The classical Arzela-Ascoli theorem is a compactness result for families of functions depending on bounds on the derivatives of the functions, and is of invaluable use in many fields of mathematics. In this paper, inspired by a result of Corlette, we prove an analogous compactness result for families of immersed submanifolds which depends only on bounds on the derivatives of the second fundamental forms of these submanifolds. We then show how the result of Corlette may be obtained as an immediate...
Caracterización del anillo de funciones diferenciables de una variedad.
Jaime Muñoz Masque (1980)
Revista Matemática Hispanoamericana
En el presente artículo se expone de modo resumido una caracterización de los anillos de funciones diferenciables de una variedad.
Chern classes of integral submanifolds of some contact manifolds.
Pitiş, Gheorghe (2002)
International Journal of Mathematics and Mathematical Sciences
Classes caractéristiques isotropes.
Francois Lalonde (1989)
Mathematische Annalen
Cobordism of immersions and singular maps, loop spaces and multiple points
András Szücs (1986)
Banach Center Publications
Cobordismes de plongments et produits homotopiques
O. Burlet (1971)
Commentarii mathematici Helvetici
Codimension two immersions of oriented Grassmann manifolds.
Zi-Zhou Tang (1995)
Manuscripta mathematica
Combinatoire des simplexes sans singularités I. Le cas différentiable
Jean Cerf (1998)
Annales de l'institut Fourier
On définit le bicomplexe , extension naturelle du complexe engendré par un ensemble simplicial . Ceci permet de définir la notion de ruban de base un cycle de . La somme directe de l’homologie des colonnes de contient, outre l’homologie de , des groupes dans lesquels se trouvent les obstructions à l’existence de rubans. Si est un sous-ensemble simplicial, stable par subdivision, de l’ensemble des simplexes singuliers d’un espace topologique, l’existence de rubans entraîne l’invariance...
Curves and surfaces in real projective spaces: an approach to generic projections
R. Pignoni (1988)
Banach Center Publications
Deformation of string topology into homotopy skein modules.
Kaiser, Uwe (2003)
Algebraic & Geometric Topology
Densidad de la transversalidad en multijets de variedades con borde anguloso.
Juan Margalef Roig, Enrique Outerelo Domínguez (1987)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Desingularisation of the triple points and of the stationary points of a map
Felice Ronga (1984)
Compositio Mathematica
Double point self-intersection surfaces of immersions.
Asadi-Golmankhaneh, Mohammad A., Eccles, Peter J. (2000)
Geometry & Topology
Einbettungen Steinscher Mannigfaltigkeiten.
Ulrich Schafft (1984)
Manuscripta mathematica
Embeddings from the point of view of immersion theory. I.
Weiss, Michael (1999)
Geometry & Topology
Embeddings from the point of view of immersion theory. II.
Goodwillie, Thomas G., Weiss, Michael (1999)
Geometry & Topology
Extending immersed circles in the sphere to immersed disks in the ball.
J. Scott Carter (1992)
Commentarii mathematici Helvetici
Currently displaying 1 – 20 of 78
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