Bulletin of the Korean Mathematical Society (대한수학회보)
- Volume 33 Issue 4
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- Pages.537-544
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- 1996
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- 1015-8634(pISSN)
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- 2234-3016(eISSN)
A crofton style formula and its application on the unit sphere $ *$
- Y. D. Chai (Department of Mathematics, Sung Kyun Kwan University, Suwon 440-746) ;
- Lee, Young-Soo (Department of Mathematics, Sung Kyun Kwan University, Suwon 440-746)
- Published : 1996.11.01
Abstract
Crofton's formula on Euclidean plane $E^2$ states: Let $\Gamma$ be a rectifiable curve of length L and let G be a straight line. Then $$ \int_{G \cap \Gamma \neq \phi} n dG = 2L $$ where n is the number of the intersection points of G with the curve $\Gamma$.
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