Classification of Möbius homogeneous curves in $ \mathbb{R}^4
Classification of Möbius homogeneous curves in $ \mathbb{R}^4
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AIMS Press
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English
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AIMS Press
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In this paper, we investigate the Möbius geometry of curves in $ \mathbb{R}^4 $. First, using moving frame methods we construct a complete system of Möbius invariants for regular curves in $ \mathbb{R}^4 $ by the isometric invariants. Second, we completely classify the Möbius homogeneous curves in $ \mathbb{R}^4 $ up to a Möbius transformation of $...
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Classification of Möbius homogeneous curves in $ \mathbb{R}^4
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TN_cdi_doaj_primary_oai_doaj_org_article_ae802f8d435445418defdad284e80dff
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https://devfeature-collection.sl.nsw.gov.au/record/TN_cdi_doaj_primary_oai_doaj_org_article_ae802f8d435445418defdad284e80dff
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ISSN
2473-6988
E-ISSN
2473-6988
DOI
10.3934/math.20241119
