Taiwanese Journal of Mathematics

On a Class of Nilpotent Distributions

Ovidiu Calin and Der-Chen Chang

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This paper presents a sufficient condition for two vector fields $X$ and $Y$ to have the squares noncommutative, i.e. $[X^2, Y^2] \not= 0$. We prove that if the vector fields $X$, $Y$ span a nilpotent distribution with nilpotence class 2, then the squares of the vector fields do not commute.

Article information

Taiwanese J. Math., Volume 15, Number 2 (2011), 875-881.

First available in Project Euclid: 18 July 2017

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Zentralblatt MATH identifier

Primary: 53C99: None of the above, but in this section
Secondary: 53D99: None of the above, but in this section

nilpotent distribution non-commutativity vector fields heat kernel


Calin, Ovidiu; Chang, Der-Chen. On a Class of Nilpotent Distributions. Taiwanese J. Math. 15 (2011), no. 2, 875--881. doi:10.11650/twjm/1500406239. https://projecteuclid.org/euclid.twjm/1500406239

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