Tohoku Mathematical Journal
2004
June
SECOND SERIES VOL. 56, NO. 2

Tohoku Math. J.
56 (2004), 289-298

Title LAGRANGIAN SURFACES OF CONSTANT CURVATURE IN COMPLEX EUCLIDEAN PLANE

Author Bang-Yen Chen

(Received November 6, 2002, revised December 15, 2003)
Abstract. In this article we completely classify Lagrangian $H$-umbilical surfaces of constant curvature in complex Euclidean plane.

2000 Mathematics Subject Classification. Primary 53D12; Secondary 53C40, 53C42.
Key words and phrases. Lagrangian surface, Lagrangian $H$-umbilical surface, Legendre curve, surface of constant curvature, complex extensor.

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