TAKEUCHI'S EQUALITY FOR THE LEVI FORM OF THE FUBINI-STUDY DISTANCE TO COMPLEX SUBMANIFOLDS IN COMPLEX PROJECTIVE SPACES
A. Takeuchi showed that the negative logarithm of the Fubini-Study boundary distance function of pseudoconvex domains in the complex projective space CPn, n ∈ N, is strictly plurisubharmonic and solved the Levi problem for CPn. His estimate from below of the Levi form is nowadays called the ‘Takeuchi's inequality.' In this paper, we give the ‘Takeuchi's equality,' i.e. an explicit representation o
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riemann_sphere.pdf
