References
N. Hicks, A theorem on affine connections,Illinois J. Math. 3 (1959), 242–254.
S. Kashiwabara, On the reducibility of an affinely connected manifold,Tohoku Math. J. (2)8 (1956), 13–28.
S. Kobayashi andK. Nomizu,Foundations of Differential Geometry, Vol. I. and II, Interscience, New York, 1963 and 1969.
R. Maltz, The deRham product decomposition,J. Diff. Geom. 7 (1972), 161–174.
G. DeRham, Sur la reducibilite d'un espace deRham,Comment. Math. Helv. 26 (1952), 328–344.
H. Wu, On the deRham decomposition theorem,Illinois Journal of Mathematics,8 (1964), 291–311.
H. Wu, Decomposition of Riemannian manifolds,Bull. Amer. Math. Soc. 70 (1964), 610–617.
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Major, E.I. On the product of affine manifolds and the generalized de Rham splitting theorem. Period Math Hung 26, 15–30 (1993). https://doi.org/10.1007/BF01875878
Received:
Issue Date:
DOI: https://doi.org/10.1007/BF01875878