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On the perturbation problem associated to isometric embeddings of Riemannian manifolds

✍ Scribed by Matthias Günthier


Publisher
Springer
Year
1989
Tongue
English
Weight
302 KB
Volume
7
Category
Article
ISSN
0232-704X

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On the number of solutions for the two-p
✍ Antonio Masiello; Paolo Piccione 📂 Article 📅 2004 🏛 Elsevier Science 🌐 English ⚖ 190 KB

We study the solutions joining two fixed points of a time-independent dynamical system on a Riemannian manifold (M, g) from an enumerative point of view. We prove a finiteness result for solutions joining two points p, q ∈ M that are non-conjugate in a suitable sense, under the assumption that (M, g