Semiumbilic points for minimal surfaces in Euclidean 4-space |
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Authors: | Reiko Aiyama Kazuo Akutagawa |
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Institution: | 1. Faculty of Mathematics, University of Santiago de Compostela, 15782, Santiago de Compostela, Spain
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Abstract: | We show that locally conformally flat gradient Ricci solitons, possibly incomplete, are locally isometric to a warped product of an interval and a space form. Consequently, we get that complete gradient shrinking and steady Ricci solitons with vanishing Weyl tensor are rotationally symmetric, from which their classification follows. |
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