4-planar geodesic Kaehler immersions into a complex projective space

Pak, Jin Suk; Sakamoto, Kunio

doi:10.1090/S0002-9939-1988-0934881-4

$4$-planar geodesic Kaehler immersions into a complex projective space
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by Jin Suk Pak and Kunio Sakamoto

Proc. Amer. Math. Soc. 102 (1988), 995-999

DOI: https://doi.org/10.1090/S0002-9939-1988-0934881-4

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Abstract:

If $f$ is a proper $4$-planar geodesic Kaehler immersion of a connected complete Kaehler manifold ${M^n}(n \geq 2)$ into $C{P^m}(c)$, then ${M^n} = C{P^n}(c/4)$ and $f$ is equivalent to the 4th Veronese map.

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