Unique decomposition of Riemannian manifolds
HTML articles powered by AMS MathViewer
- by J.-H. Eschenburg and E. Heintze PDF
- Proc. Amer. Math. Soc. 126 (1998), 3075-3078 Request permission
Abstract:
We prove an extension of de Rham’s decomposition theorem to the non-simply connected case.References
- P. Hebroni, Sur les inverses des éléments dérivables dans un anneau abstrait, C. R. Acad. Sci. Paris 209 (1939), 285–287 (French). MR 14
- M. Gromov, Almost flat manifolds, J. Differential Geometry 13 (1978), no. 2, 231–241. MR 540942, DOI 10.4310/jdg/1214434488
- Shoshichi Kobayashi and Katsumi Nomizu, Foundations of differential geometry. Vol I, Interscience Publishers (a division of John Wiley & Sons, Inc.), New York-London, 1963. MR 0152974
- R. Maltz, The de Rham product decomposition, J. Differential Geometry 7 (1972), 161–174. MR 324578, DOI 10.4310/jdg/1214430825
- Radu Pantilie, A simple proof of the de Rham decomposition theorem, Bull. Math. Soc. Sci. Math. Roumanie (N.S.) 36(84) (1992), no. 3-4, 341–343. MR 1307730
- Hitoshi Takagi, Notes on the cancellation of Riemannian manifolds, Tohoku Math. J. (2) 32 (1980), no. 3, 411–417. MR 590036, DOI 10.2748/tmj/1178229599
- Kagumi Uesu, Cancellation law for Riemannian direct product, J. Math. Soc. Japan 36 (1984), no. 1, 53–62. MR 723593, DOI 10.2969/jmsj/03610053
Additional Information
- J.-H. Eschenburg
- Affiliation: Institut fur Mathematik, Universität Augsburg, D-86135 Augsburg, Germany
- Email: eschenburg@math.uni-augsburg.de
- E. Heintze
- Affiliation: Institut fur Mathematik, Universität Augsburg, D-86135 Augsburg, Germany
- Email: heintze@math.uni-augsburg.de
- Received by editor(s): February 28, 1997
- Communicated by: Christopher Croke
- © Copyright 1998 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 126 (1998), 3075-3078
- MSC (1991): Primary 53C20; Secondary 53C12
- DOI: https://doi.org/10.1090/S0002-9939-98-04630-9
- MathSciNet review: 1473665