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Topological entropy of minimal geodesics and volume growth on surfaces

✍ Scribed by Glasmachers, Eva; Knieper, Gerhard; Ogouyandjou, Carlos; Schröder, Jan Philipp


Book ID
126173216
Publisher
American Institute of Mathematical Sciences
Year
2014
Tongue
English
Weight
204 KB
Volume
8
Category
Article
ISSN
1930-5311

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Minimal geodesics on groups of volume-pr
✍ Yann Brenier 📂 Article 📅 1999 🏛 John Wiley and Sons 🌐 English ⚖ 454 KB 👁 2 views

The three-dimensional motion of an incompressible inviscid fluid is classically described by the Euler equations but can also be seen, following Arnold [1], as a geodesic on a group of volume-preserving maps. Local existence and uniqueness of minimal geodesics have been established by Ebin and Marsd