Book ChapterDOI
Nondegenerate Critical Manifolds
Jean Mawhin,Michel Willem +1 more
- pp 217-239
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TLDR
In this article, the local and global aspects of the theory of non-degenerate critical manifolds are discussed. But they do not consider the notion of a non-negative critical point.Abstract:
After recalling some preliminary notions from differential geometry, this chapter presents the local and global aspects of the theory of nondegenerate critical manifolds. These manifolds are a natural extension of the notion of non-degenerate critical point.read more
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References
More filters
Journal ArticleDOI
Instantons on ALE spaces, quiver varieties, and Kac-Moody algebras
TL;DR: In this article, Kobayashi et al. introduced a new family of quiver varieties, which they call quiver variety, and studied their geometric structures, such as a natural *-action, symplectic geometry, topology, and so on.
Journal ArticleDOI
Multiplicity results for some nonlinear Schrodinger equations with potentials
TL;DR: In this article, multiple semiclassical standing waves for a class of nonlinear Schrodinger equations with potentials were found by means of a perturbative variational method.
Book
An Invitation to Morse Theory
TL;DR: The topology of Morse Functions and its application in Morse-Smale Flows and Whitney Stratifications can be found in this article, where Morse Functions can be expressed as Morse Functions.
Book
Lectures on geometric methods in mathematical physics
TL;DR: Infinite-Dimensional Hamiltonian Systems Elasticity as a Hamiltonian System Symmetry and Reduction Applications of Reduction Two Completely Integrable Systems Bifurcations of a Forced Beam The Traction Problem in Elastostatics Bifurlcations for Momentum Mappings The Space of Solutions of Einstein's Equations Regular and Singular Points as mentioned in this paper
Journal ArticleDOI
The cohomology rings of moduli spaces of bundles over Riemann surfaces
TL;DR: In this article, the authors provide a method for deciding when an expression in the generators of the moduli space JI(n, d) is a relation, and in particular when the rank n is two.