Albert Nijenhuis (November 21, 1926 – February 13, 2015) was a mathematician at the University of Pennsylvania.
He got his PhD degree in 1952 from the University of Amsterdam, advised by Jan Schouten.
He introduced the notion of a natural bundles and natural operation in differential geometry, which was subsequently developed by others.
On the Schouten-Nijenhuis bracket:
Introducing the notion of natural operations in differential geometry:
Albert Nijenhuis, Geometric aspects of formal differential operations on tensor fields, Proceedings of the International Congress of Mathematicians 1958, 463–469.
Albert Nijenhuis, Natural bundles and their general properties, in: Differential Geometry (in honor of Kentaro Yano), Kinokuniya, Tokyo, 1972, pp. 317–334.
Introducing the Frölicher-Nijenhuis bracket:
and its refinement for almost complex structures:
Giving an explicit formula for what came to be known as the Nijenhuis–Richardson bracket:
Albert Nijenhuis, Roger W. Richardson, Cohomology and deformations of algebraic structures, Bulletin of the American Mathematical Society 70 3 (1964) 406–412 [doi:10.1090/s0002-9904-1964-11117-4]
Albert Nijenhuis, R. W. Richardson, Deformations of Lie Algebra Structures, Journal of Mathematics and Mechanics 17 1 (1967) 89-105 [jstor:24902154]
Beware that this other article has a similar title to Nijenhuis & Richardson 1964, but does not seem to mention the Nijenhuis–Richardson bracket:
Last revised on May 3, 2023 at 18:25:09. See the history of this page for a list of all contributions to it.