A totally real surface in 𝐶𝑃² that is not totally geodesic

Ludden, Gerald D.; Okumura, Masafumi; Yano, Kentaro

doi:10.1090/S0002-9939-1975-0380683-0

A totally real surface in $CP^{2}$ that is not totally geodesic
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by Gerald D. Ludden, Masafumi Okumura and Kentaro Yano PDF

Proc. Amer. Math. Soc. 53 (1975), 186-190 Request permission

Abstract:

An example of a totally real surface immersed in complex projective space is given. This surface is not totally geodesic. The relation of this example to previous theorems on totally real submanifolds is given.

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