Remote Access Proceedings of the American Mathematical Society
Green Open Access

Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A remark on derivations and skew-derivations on $ \mathcal{D}(M)$


Author: Tsuneo Suguri
Journal: Proc. Amer. Math. Soc. 54 (1976), 403-404
DOI: https://doi.org/10.1090/S0002-9939-1976-0391147-3
MathSciNet review: 0391147
Full-text PDF

Abstract | References | Additional Information

Abstract: We give here the corrections of the Proposition of S. Kobayashi and K. Nomizu concerning the derivation and skew-derivation of the algebra of differential forms on a differentiable manifold.


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

  • [1] A. Frölicher and A. Nijenhuis, Theory of vector-valued differential forms. I. Derivations in the graded ring of differential forms, Nederl. Akad. Wetensch. Proc. Ser. A 59 = Indag. Math. 18(1956), 338-359. MR18, 569. MR 0082554 (18:569c)
  • [2] S. Kobayashi and K. Nomizu, Foundations of differential geometry. Vol. I, Wiley, New York, 1963. MR27 #2945. MR 1393940 (97c:53001a)
  • [3] F. W. Warner, Foundations of differentiable manifolds and Lie groups, Scott, Foresman, Glenview, Ill., 1971. MR45 #4312. MR 0295244 (45:4312)


Additional Information

DOI: https://doi.org/10.1090/S0002-9939-1976-0391147-3
Keywords: Algebra of differential forms, derivation, skew-derivation
Article copyright: © Copyright 1976 American Mathematical Society

American Mathematical Society