Sphere theorems and eigenvalue pinching without positive Ricci curvature assumption
Author:
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Analysis
Link
http://link.springer.com/content/pdf/10.1007/s00526-019-1588-y.pdf
Reference38 articles.
1. Aino, M.: Riemannian invariants that characterize rotational symmetries of the standard sphere. Manuscr. Math. 156, 241–272 (2018)
2. Aubry, E.: Pincement sur le spectre et le volume en courbure de Ricci positive. Ann. Sci. École Norm. Sup. (4) 38, 387–405 (2005)
3. Aubry, E.: Finiteness of $$\pi _1$$ and geometric inequalities in almost positive Ricci curvature. Ann. Sci. École Norm. Sup. (4) 40, 675–695 (2007)
4. Aubry, E., Grosjean, J.-F.: Spectrum of hypersurfaces with small extrinsic radius or large $$\lambda _1$$ in Euclidean spaces. J. Funct. Anal. 271, 1213–1242 (2016)
5. Cheeger, J.: Differentiability of Lipschitz functions on metric measure spaces. Geom. Funct. Anal. 9, 428–517 (1999)
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