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Negatively curved homogeneous Osserman spaces

✍ Scribed by Isabel Dotti; Maria J. Druetta

Book ID
104358345
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
979 KB
Volume
11
Category
Article
ISSN
0926-2245

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✦ Synopsis

We show that solvable Lie groups of Iwasawa type satisfying the Osserman condition are symmetric spaces of noncompact type and rank one. As a consequence, the Osserman con.jecture holds for non-flar homogeneous manifolds of nonpositive curvature.

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