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Integral Geometry of Real Surfaces in the Complex Projective Plane

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Abstract

We give a Poincaré formula for any real surfaces in the complex projective plane which states that the mean value of the intersection numbers of two real surfaces is equal to the integral of some terms of their Kähler angles.

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References

  1. Howard, R.: The kinematic formula in Riemannian homogeneous spaces, Mem.A mer. Math. Soc. 106 (1993). This is a booklet.

  2. Kang, H. J. and Tasaki, H.: Integral geometry of real surfaces in complex projective spaces, Tsukuba J. Math. 25 (2001), 155–164.

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Authors and Affiliations

  1. Institute of Mathematics, University of Tsukuba, Tsukuba, Ibaraki, 305-8571, Japan

    Hong Jae Kang & Hiroyuki Tasaki

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  1. Hong Jae Kang
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  2. Hiroyuki Tasaki
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Kang, H.J., Tasaki, H. Integral Geometry of Real Surfaces in the Complex Projective Plane. Geometriae Dedicata 90, 99–106 (2002). https://doi.org/10.1023/A:1014933627990

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  • DOI: https://doi.org/10.1023/A:1014933627990

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