Moduli spaces of nonnegative sectional curvature and non-unique souls

Autor: Belegradek, Igor, Kwasik, Slawomir, Schultz, Reinhard
Rok vydání: 2009
Předmět:
Zdroj: J. Differential Geom. vol.89 (2011), no.1, 49-85
Druh dokumentu: Working Paper
Popis: We apply various topological methods to distinguish connected components of moduli spaces of complete Riemannian metrics of nonnegative sectional curvature on open manifolds. The new geometric ingredient is that souls of nearby nonnegatively curved metrics are ambiently isotopic.
Comment: Proposition 4.4 corrected. A mistake in Proposition 2.8 is discussed after its statement
Databáze: arXiv