@article{CM_1973__27_1_49_0, author = {Grove, Karsten and Karcher, Hermann}, title = {On pinched manifolds with fundamental group $\mathbf {Z}_2$}, journal = {Compositio Mathematica}, pages = {49--61}, publisher = {Noordhoff International Publishing}, volume = {27}, number = {1}, year = {1973}, mrnumber = {334244}, zbl = {0266.53032}, language = {en}, url = {http://www.numdam.org/item/CM_1973__27_1_49_0/} }
TY - JOUR AU - Grove, Karsten AU - Karcher, Hermann TI - On pinched manifolds with fundamental group $\mathbf {Z}_2$ JO - Compositio Mathematica PY - 1973 SP - 49 EP - 61 VL - 27 IS - 1 PB - Noordhoff International Publishing UR - http://www.numdam.org/item/CM_1973__27_1_49_0/ LA - en ID - CM_1973__27_1_49_0 ER -
Grove, Karsten; Karcher, Hermann. On pinched manifolds with fundamental group $\mathbf {Z}_2$. Compositio Mathematica, Tome 27 (1973) no. 1, pp. 49-61. http://www.numdam.org/item/CM_1973__27_1_49_0/
[1 ] Les variétés riemanniennes à courbure positive. Bull. Soc. Math. Belgique. 10 (1958) 89-104. | Zbl
:[2] An extension of Rauch's metric comparison theorem and some applications. Illinois J. of Math., 6 (1962) 700-712. | MR | Zbl
:[3] Sur les difféomorphismes de la sphère de dimension trois (Γ4 = 0). Springer Lecture Notes, series 53 (1968). Berlin-Heidelberg -New York. | Zbl
:[4] Differenzierbare Strukturen und Metriken positiver Krümmung auf Sphären. Math. Ann., 164 (1966) 353-371. | MR | Zbl
:[5] Riemannsche Geometrie im Grossen. Springer Lecture Notes, series 55 (1968). Berlin-Heidelberg-New York. | MR | Zbl
, , :[6] Condition (C) for the energy integral on certain path-spaces and applications to the theory of geodesics. J. Diff. Geom (to appear). | MR | Zbl
:[7] Isometry-invariant geodesics (preprint Bonn). | MR
:[8] How to conjugate C1-close group actions. Math. Z., 132 (1973) 11-20. | MR | Zbl
, :[9] Groups of homotopy Spheres I. Ann. of Math., 77 (1963) 504-537. | MR | Zbl
, :[10] Über Riemannsche Mannigfaltigkeiten mit positiver Krümmung. Comment. Math. Helv., 35 (1961) 35-54. | MR | Zbl
:[11] Fixed point free involutions on the 3-sphere. Ann. of Math., 72 (1960) 603-611. | MR | Zbl
:[12] Involutions on manifolds. Springer Verlag (1971) Berlin- Heidelberg-New York. | MR | Zbl
:[13] Krümmung und differenzierbare Strukturen auf Sphären, II Math. Ann., 205 (1973) 113-129. | MR | Zbl
:[14] The diameter of δ-pinched manifolds. J. Diff. Geom., 5 (1971) 61-74. | Zbl
:[15] On the differentiable pinching problem. Math. Ann., 195 (1971) 1-16. | MR | Zbl
, , :