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The symmetries of surfaces which can be embedded into the symmetries of the 3-dimensional Euclidean space ℝ3 are easier to feel by human’s intuition. We give the maximum order of… Click to show full abstract
The symmetries of surfaces which can be embedded into the symmetries of the 3-dimensional Euclidean space ℝ3 are easier to feel by human’s intuition. We give the maximum order of finite group actions on (ℝ3, Σ) among all possible embedded closed/bordered surfaces with given geometric/algebraic genus greater than 1 in ℝ3. We also identify the topological types of the bordered surfaces realizing the maximum order, and find simple representative embeddings for such surfaces.
Keywords:
dimensional euclidean;
euclidean space;
embedding compact;
surfaces dimensional;
compact surfaces
Journal Title: Science China Mathematics
Year Published: 2017
Link to full text (if available)
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Journal Title: Science China Mathematics
Year Published: 2017
Link to full text (if available)
Share on Social Media: Sign Up to like & get
recommendations!