Generalized invexity on differentiable manifolds.
Pripoae, Cristina Liliana, Pripoae, Gabriel Teodor (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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Pripoae, Cristina Liliana, Pripoae, Gabriel Teodor (2005)
Balkan Journal of Geometry and its Applications (BJGA)
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El-Ghoul, M., El-Ahmady, A.E., Abu-Saleem, M. (2007)
APPS. Applied Sciences
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Knobloch, H. W., Aulbach, B.
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Francesco Costantino (2005)
Fundamenta Mathematicae
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We give a self-contained introduction to the theory of shadows as a tool to study smooth 3-manifolds and 4-manifolds. The goal of the present paper is twofold: on the one hand, it is intended to be a shortcut to a basic use of the theory of shadows, on the other hand it gives a sketchy overview of some of the most recent results on shadows. No original result is proved here and most of the details of the proofs are left out.
Craig R. Guilbault (2007)
Fundamenta Mathematicae
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We present a characterization of those open n-manifolds (n ≥ 5) whose products with the real line are homeomorphic to interiors of compact (n+1)-manifolds with boundary.
Milan Medveď (1998)
Annales Polonici Mathematici
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Cascade second order ODEs on manifolds are defined. These objects are locally represented by coupled second order ODEs such that any solution of one of them can represent an external force for the other one. A generic saddle-node bifurcation theorem for 1-parameter families of cascade second order ODEs is proved.
P. H. Doyle (1974)
Colloquium Mathematicae
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Duane Randall (1990)
Manuscripta mathematica
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Lloyd G. Roeling (1976)
Colloquium Mathematicae
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Stamov, G. (1995)
Serdica Mathematical Journal
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* This investigation was supported by the Bulgarian Ministry of Science and Education under Grant MM-7. Sufficient conditions are obtained for the existence of local integral manifolds of autonomous systems of differential equations with impulses at fixed moments. In case of perturbations of the nonlinear part an estimate of the difference between the manifolds is obtained.