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Journal Article
EUCLIDEAN SURFACES WITH CONFORMAL SECOND FUNDAMENTAL FORM
2025
Overview
In the present study, we consider surfaces in E2+d with conformal second fundamental form. We give a result for Chen surfaces to have a conformal second fundamental form. We show that every Chen surface is h-conformal. Furthermore, we give necessary and sufficient conditions for general rotational surfaces in Euclidean 4-space to become h-conformal. Finally, we prove that the Vranceanu surface is h-conformal if and only if it is either flat or minimal.
Publisher
Valahia State University under the authority of The National University Research Council
Subject
