Curvature operators : pinching estimates and geometric examples
Bourguignon, Jean-Pierre ; Karcher, Hermann
Annales scientifiques de l'École Normale Supérieure, Tome 11 (1978), p. 71-92 / Harvested from Numdam
@article{ASENS_1978_4_11_1_71_0,
     author = {Bourguignon, Jean-Pierre and Karcher, Hermann},
     title = {Curvature operators : pinching estimates and geometric examples},
     journal = {Annales scientifiques de l'\'Ecole Normale Sup\'erieure},
     volume = {11},
     year = {1978},
     pages = {71-92},
     doi = {10.24033/asens.1340},
     mrnumber = {58 \#12829},
     zbl = {0386.53031},
     language = {en},
     url = {http://dml.mathdoc.fr/item/ASENS_1978_4_11_1_71_0}
}
Bourguignon, Jean-Pierre; Karcher, Hermann. Curvature operators : pinching estimates and geometric examples. Annales scientifiques de l'École Normale Supérieure, Tome 11 (1978) pp. 71-92. doi : 10.24033/asens.1340. http://gdmltest.u-ga.fr/item/ASENS_1978_4_11_1_71_0/

[1] A. Besse, Manifolds all of whose Geodesics are Closed, Erg. der Math., Springer, 1978. | MR 80c:53044 | Zbl 0387.53010

[2] J. P. Bourguignon, Sur les formes harmoniques du type de la courbure (C. R. Acad. Sc., Paris, t. 286, 1978, pp. 337-341). | MR 57 #13782 | Zbl 0374.53019

[3] E. Calabi et E. Vesentini, On Compact Locally Symmetric Kähler Manifolds (Ann. of Math., Vol. 71, 1960, pp. 472-507). | MR 22 #1922b | Zbl 0100.36002

[4] S. Gallot et D. Meyer, Opérateur de courbure et laplacien des formes différentielles d'une variété riemannienne (J. Math. pures et appl., T. 54, 1975, pp. 259-284). | MR 56 #13128 | Zbl 0316.53036

[5] R. Geroch, Positive Sectional Curvature does not Imply Positive Gauss-Bonnet Integrand (Proc. A.M.S., Vol. 54, 1976, pp. 267-270). | MR 52 #11784 | Zbl 0325.53042

[6] S. Helgason, Differential Geometry and Symmetric Spaces, Academic Press, 1962. | MR 26 #2986 | Zbl 0111.18101

[7] G. Jensen, Embeddings of Stiefel Manifolds into Grassmannians (Duke Math. J., Vol. 42, 1975, pp. 397-407). | MR 51 #11360 | Zbl 0335.53042

[8] H. Karcher, Pinching implies Strong Pinching (Comment. Math. Helv., Vol. 46, 1971, pp. 124-126). | MR 45 #1076 | Zbl 0216.43803

[9] T. Kato, Perturbation Theory for Linear Operators, Grund. der math. Wiss., Springer, 1966. | MR 34 #3324 | Zbl 0148.12601

[10] P. Klembeck, On Geroch's Counterexample to the Algebraic Hopf Conjecture (Proc. A.M.S., Vol. 59, 1976, pp. 334-336). | MR 55 #1250 | Zbl 0341.53011

[11] N. Koiso, Critical Metrics and Non-Deformability of Certain Riemannian Structures (Preprint, 1977).

[12] R. S. Kulkarni, On the Bianchi Identities (Math. Ann., Vol. 199, 1972, pp. 175-204). | MR 49 #3767 | Zbl 0234.53021

[13] H. Maillot, Sur l'opérateur de courbure d'une variété riemannienne (Thèse de 3e cycle, Université Claude-Bernard, Lyon, 1974).

[14] A. Polombo, Nombres caractéristiques d'une variété riemannienne (Thèse de 3e cycle, Université Paris-VII, 1976).

[15] S. Sternberg, Lectures on Differential Geometry, Prentice Hall, 1964. | MR 33 #1797 | Zbl 0129.13102

[16] H. Weyl, Classical Groups, Princeton University Press, Princeton, 1939. | JFM 65.0058.02