$4$-planar geodesic Kaehler immersions into a complex projective space

Jin Suk Pak, Kunio Sakamoto
1988 Proceedings of the American Mathematical Society  
If / is a proper 4-planar geodesic Kaehler immersion of a connected complete Kaehler manifold Mn (n > 2) into CPm{c), then Mn = CPn(c/4) and / is equivalent to the 4th Veronese map.
doi:10.1090/s0002-9939-1988-0934881-4 fatcat:c22q4tr5crhgho6ag2dywxias4