回転を二重ベクトル場（反対称二階テンソル）と考えることは、ベクトル解析とそれに関連する物理学を高次元化するのに用いられている[7]。
脚注[脚注の使い方]^ ⇒Proceedings of the London Mathematical Society, March 9th, 1871
^ Mathematical methods for physics and engineering, K.F. Riley, M.P. Hobson, S.J. Bence, Cambridge University Press, 2010, ISBN 978-0-521-86153-3
^ Vector Analysis (2nd Edition), M.R. Spiegel, S. Lipcshutz, D. Spellman, Schaum’s Outlines, McGraw Hill (USA), 2009, ISBN 978-0-07-161545-7
^ Gibbs, Josiah Willard; Wilson, Edwin Bidwell (1902), Vector analysis, https://books.google.co.jp/books?id=R5IKAAAAYAAJ&printsec=frontcover&redir_esc=y&hl=ja 
^ Arfken, p. 43.
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^ ⇒Generalizing Cross Products and Maxwell's Equations to Universal Extra Dimensions, A.W. McDavid, C.D. McMullen, 2006

参考文献

Arfken, George B. and Hans J. Weber. Mathematical Methods For Physicists, Academic Press; 6 edition (June 21, 2005). ISBN 978-0-12-059876-2.

Korn, Granino Arthur and Theresa M. Korn. Mathematical Handbook for Scientists and Engineers: Definitions, Theorems, and Formulas for Reference and Review. New York: Dover Publications. pp. 157?160. ISBN 0-486-41147-8 

関連項目

ナブラ

勾配 (ベクトル解析)

発散 (ベクトル解析)

円柱座標系および球面座標系におけるナブラ演算子（英語版）

渦度

ベクトル三重積

ヘルムホルツ分解

外部リンク

Hazewinkel, Michiel, ed. (2001), “Curl”, Encyclopedia of Mathematics, Springer, ISBN 978-1-55608-010-4, https://www.encyclopediaofmath.org/index.php?title=Curl 

⇒The idea of curl of a vector field

⇒Curl BetterExplained