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Wiedersehen metrics and exotic involutions of Euclidean spheres

✍ Scribed by Abresch, U; Durán, C; Püttmann, T; Rigas, A

Book ID
118740362
Publisher
Walter de Gruyter GmbH & Co. KG
Year
2007
Tongue
English
Weight
295 KB
Volume
2007
Category
Article
ISSN
0075-4102

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Wiedersehen metrics and exotic involutio
Wiedersehen metrics and exotic involutions of Euclidean spheres
✍ Abresch, U; Durán, C; Püttmann, T; Rigas, A 📂 Article 📅 2007 🏛 Walter de Gruyter GmbH & Co. KG 🌐 English ⚖ 295 KB

We provide explicit, simple, geometric formulas for free involutions r of Euclidean spheres that are not conjugate to the antipodal involution. Therefore the quotient S n =r is a manifold that is homotopically equivalent but not di¤eomorphic to RP n . We use these formulas for constructing explicit