IJPAM: Volume 82, No. 5 (2013)
AXIOMATIC DIFFERENTIAL GEOMETRY II-4
- ITS DEVELOPMENTS -
CHAPTER 4: THE FRÖLICHER-NIJENHUIS ALGEBRA
- ITS DEVELOPMENTS -
CHAPTER 4: THE FRÖLICHER-NIJENHUIS ALGEBRA
Hirokazu Nishimura
Institute of Mathematics
University of Tsukuba
Tsukuba, Ibaraki, 305-8571, JAPAN
Institute of Mathematics
University of Tsukuba
Tsukuba, Ibaraki, 305-8571, JAPAN
Abstract. In our previous paper (Axiomatic Differential Geometry II-3) we have discussed the general Jacobi identity, from which the Jacobi identity of vector fields follows readily. In this paper we derive Jacobi-like identities of tangent-vector-valued forms from the general Jacobi identity.
Received: December 4, 2012
AMS Subject Classification: 58A05, 58A10
Key Words and Phrases: axiomatic differential geometry, Frölicher-Nijenhuis bracket, general Jacobi identity
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DOI: 10.12732/ijpam.v82i5.9 How to cite this paper?
Source: International Journal of Pure and Applied Mathematics
ISSN printed version: 1311-8080
ISSN on-line version: 1314-3395
Year: 2013
Volume: 82
Issue: 5
