Differential Topology-Reference-Cited by-同舟云学术

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Differential Topology

Published:2023 Issue: Volume: Page:29-47
ISSN:2191-8112
Container-title:SpringerBriefs in Electrical and Computer Engineering
language:
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Author:

Jongeneel Wouter,Moulay Emmanuel^ORCID

Abstract

AbstractIn this chapter we discuss differentiable structures on topological manifolds. In particular, we discuss transversality, tubular neighbourhoods, index theory, the degree and the theorems by Poincaré and Hopf and Bobylev and Krasnosel’skiĭ.

Publisher

Springer Nature Switzerland

Link

https://link.springer.com/content/pdf/10.1007/978-3-031-30133-9_3

Reference46 articles.

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2. Belabbas MA (2013) On global stability of planar formations. IEEE T Automat Contr 58(8):2148–2153

3. Bobylev N, Emel’yanov SV, Korovin S (2012) Geometrical methods in variational problems. Springer, Dordrecht

4. Bobylev N, Krasnosel’skiĭ M (1974) Deformation of a system into an asymptotically stable system. Automat Remote Control 35(7):1041–1044

5. Bonatti C, Villadelprat J (2002) The index of stable critical points. Topol Appl 126(1):263–271

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