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Euclidean Surfaces With Conformal Second Fundamental Form

Year: 2025
Type: article
Abstract: In the present study, we consider surfaces in 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.
Language: English
Open Access status: hybrid
OpenAlex ID: W4409269355
FWCI:
Cites: 12
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Related to: 10