Riemannian submersions from compact four manifolds

Author:

Chen Xiaoyang

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Reference27 articles.

1. Berestovskii, V.N., Guijarro, L.: A metric characterization of Riemannian submersions. Ann. Glob. Anal. Geom. 18(6), 577–588 (2000)

2. Berger, M.: Sur les variéétés d’Einstein compactes, C. R. IIP Réunion Math. Expression Latine, Namur, pp. 35-55 (1965)

3. Besse, A.L.: Einstein Manifolds. Reprint of the 1987 edition. Classics in Mathematics. Springer, Berlin (2008)

4. Cheeger, J., Gromoll, D.: On the structure of complete manifolds of nonnegative curvature. Ann. Math. 96(3), 413–443 (1972)

5. Chen, X.: Curvature and Riemannian Submersions. Ph.D thesis, University of Notre Dame, (2014)

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1. A note on the Petersen-Wilhelm conjecture;Proceedings of the American Mathematical Society;2018-07-05

2. On Riemannian Foliations over Positively Curved Manifolds;The Journal of Geometric Analysis;2017-07-20

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