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Transactions of the American Mathematical Society

ISSN 1088-6850(online) ISSN 0002-9947(print)

 
 

 

On nullity distributions


Author: Sin Leng Tan
Journal: Trans. Amer. Math. Soc. 223 (1976), 323-335
MSC: Primary 58A30; Secondary 53C05
DOI: https://doi.org/10.1090/S0002-9947-1976-0423393-9
MathSciNet review: 0423393
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Abstract: The nullity concept of Riemannian manifolds is extended to affine manifolds. Results obtained by Chern and Kuiper and Maltz on Riemannian manifolds are generalized to affine manifolds. A structure theorem for affine symmetric spaces is obtained. Finally, the nullity concept is generalized to study the partial integrability of certain geometric structures.


References [Enhancements On Off] (What's this?)

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Keywords: Affine manifolds, nullity distributions, symmetric spaces, partial integrability
Article copyright: © Copyright 1976 American Mathematical Society