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On the Uniqueness of Hofer’s Geometry

✍ Scribed by Lev Buhovsky; Yaron Ostrover

Book ID: 105769384
Publisher: Springer
Year: 2011
Tongue: English
Weight: 454 KB
Volume: 21
Category: Article
ISSN: 1016-443X
DOI: 10.1007/s00039-011-0143-6

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Hofer type geometry on the space of Lege

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✍ Pitiş, Gheorghe 📂 Article 📅 2013 🏛 Walter de Gruyter GmbH & Co. KG 🌐 English ⚖ 307 KB

Hofer type geometry on the space of Lege

Hofer type geometry on the space of Legendrian submanifolds of a contact manifold

✍ Pitiş, Gheorghe 📂 Article 📅 2013 🏛 Walter de Gruyter GmbH & Co. KG 🌐 English ⚖ 307 KB

The aim of the present paper is to study a Hofer-like geometry on the space of Legendrian submanifolds of a contact manifold. Using contact Hofer energy we define a pseudometric on this space and find sufficient conditions that this be nondegenerate. It is proved that an ample class of distances red