@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}, pages = {71--92}, publisher = {Elsevier}, volume = {Ser. 4, 11}, number = {1}, year = {1978}, doi = {10.24033/asens.1340}, mrnumber = {58 #12829}, zbl = {0386.53031}, language = {en}, url = {http://archive.numdam.org/articles/10.24033/asens.1340/} }
TY - JOUR AU - Bourguignon, Jean-Pierre AU - Karcher, Hermann TI - Curvature operators : pinching estimates and geometric examples JO - Annales scientifiques de l'École Normale Supérieure PY - 1978 SP - 71 EP - 92 VL - 11 IS - 1 PB - Elsevier UR - http://archive.numdam.org/articles/10.24033/asens.1340/ DO - 10.24033/asens.1340 LA - en ID - ASENS_1978_4_11_1_71_0 ER -
%0 Journal Article %A Bourguignon, Jean-Pierre %A Karcher, Hermann %T Curvature operators : pinching estimates and geometric examples %J Annales scientifiques de l'École Normale Supérieure %D 1978 %P 71-92 %V 11 %N 1 %I Elsevier %U http://archive.numdam.org/articles/10.24033/asens.1340/ %R 10.24033/asens.1340 %G en %F 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, Série 4, Tome 11 (1978) no. 1, pp. 71-92. doi : 10.24033/asens.1340. http://archive.numdam.org/articles/10.24033/asens.1340/
[1] Manifolds all of whose Geodesics are Closed, Erg. der Math., Springer, 1978. | MR | Zbl
,[2] Sur les formes harmoniques du type de la courbure (C. R. Acad. Sc., Paris, t. 286, 1978, pp. 337-341). | MR | Zbl
,[3] On Compact Locally Symmetric Kähler Manifolds (Ann. of Math., Vol. 71, 1960, pp. 472-507). | MR | Zbl
et ,[4] Opérateur de courbure et laplacien des formes différentielles d'une variété riemannienne (J. Math. pures et appl., T. 54, 1975, pp. 259-284). | MR | Zbl
et ,[5] Positive Sectional Curvature does not Imply Positive Gauss-Bonnet Integrand (Proc. A.M.S., Vol. 54, 1976, pp. 267-270). | MR | Zbl
,[6] Differential Geometry and Symmetric Spaces, Academic Press, 1962. | MR | Zbl
,[7] Embeddings of Stiefel Manifolds into Grassmannians (Duke Math. J., Vol. 42, 1975, pp. 397-407). | MR | Zbl
,[8] Pinching implies Strong Pinching (Comment. Math. Helv., Vol. 46, 1971, pp. 124-126). | MR | Zbl
,[9] Perturbation Theory for Linear Operators, Grund. der math. Wiss., Springer, 1966. | MR | Zbl
,[10] On Geroch's Counterexample to the Algebraic Hopf Conjecture (Proc. A.M.S., Vol. 59, 1976, pp. 334-336). | MR | Zbl
,[11] Critical Metrics and Non-Deformability of Certain Riemannian Structures (Preprint, 1977).
,[12] On the Bianchi Identities (Math. Ann., Vol. 199, 1972, pp. 175-204). | MR | Zbl
,[13] Sur l'opérateur de courbure d'une variété riemannienne (Thèse de 3e cycle, Université Claude-Bernard, Lyon, 1974).
,[14] Nombres caractéristiques d'une variété riemannienne (Thèse de 3e cycle, Université Paris-VII, 1976).
,[15] Lectures on Differential Geometry, Prentice Hall, 1964. | MR | Zbl
,[16] Classical Groups, Princeton University Press, Princeton, 1939. | JFM
,Cité par Sources :