Year 2016,
Volume: 9 Issue: 1, 57 - 61, 30.04.2016
Mihriban Külahcı
Mehmet Bektaş
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Eigenvalue Rigidity in Nonnegative Ricci Curvature
Year 2016,
Volume: 9 Issue: 1, 57 - 61, 30.04.2016
Mihriban Külahcı
Mehmet Bektaş
Abstract
![](data:image/png;base64,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)
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