Minimal and Pseudo-Umbilical Rotational Surfaces in Euclidean Space {\mathbb{E}^4} |
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| Authors: | Ugˇur Dursun Nurettin Cenk Turgay |
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| Institution: | 1. Faculty of Science and Letters, Department of Mathematics, Istanbul Technical University, 34469, Maslak, Istanbul, Turkey
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| Abstract: | In this paper we study general rotational surfaces in ${\mathbb{E}^4}$ whose meridian curves lie in two-dimensional planes. We firstly find all minimal general rotational surfaces by solving the differential equation that characterizes minimal general rotational surfaces. Then we determine all pseudo-umbilical general rotational surfaces in ${\mathbb{E}^4}$ . |
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