A characterization of shortest geodesics on surfaces.
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Neumann-Coto, Max (2001)
Algebraic & Geometric Topology
R.W. Sharpe (1989)
Commentarii mathematici Helvetici
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.
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...
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.
Pitiş, Gheorghe (2002)
International Journal of Mathematics and Mathematical Sciences
Francois Lalonde (1989)
Mathematische Annalen
András Szücs (1986)
Banach Center Publications
O. Burlet (1971)
Commentarii mathematici Helvetici
Zi-Zhou Tang (1995)
Manuscripta mathematica
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...
R. Pignoni (1988)
Banach Center Publications
Kaiser, Uwe (2003)
Algebraic & Geometric Topology
Juan Margalef Roig, Enrique Outerelo Domínguez (1987)
Revista de la Real Academia de Ciencias Exactas Físicas y Naturales
Felice Ronga (1984)
Compositio Mathematica
Asadi-Golmankhaneh, Mohammad A., Eccles, Peter J. (2000)
Geometry & Topology
Ulrich Schafft (1984)
Manuscripta mathematica
Weiss, Michael (1999)
Geometry & Topology
Goodwillie, Thomas G., Weiss, Michael (1999)
Geometry & Topology
J. Scott Carter (1992)
Commentarii mathematici Helvetici
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