A Note on Isometric Embeddings of Surfaces of Revolution

@article{Engman2002ANO,
  title={A Note on Isometric Embeddings of Surfaces of Revolution},
  author={Martin Engman},
  journal={The American Mathematical Monthly},
  year={2002},
  volume={111},
  pages={251 - 255}
}
  • M. Engman
  • Published 18 January 2002
  • Mathematics
  • The American Mathematical Monthly
1. P. Borwein and W. O. J. Moser, A survey of Sylvester’s problem and its generalizations, Aequationes Math. 40 (1990) 111–135. 2. G. D. Chakerian, Sylvester’s problem on collinear points and a relative, this MONTHLY 77 (1970) 164– 167. 3. H. S. M. Coxeter, A problem of collinear points, this MONTHLY 55 (1948) 26–28. 4. , Introduction to Geometry, John Wiley & Sons, New York, 1989. 5. J. Edmonds, A. Mandel, and L. Lovasz, Solution to problem in number 4, p. 250, Math. Intelligencer 2 (1980) 106… 
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SummaryLetP be a finite set of three or more noncollinear points in the plane. A line which contains two or more points ofP is called aconnecting line (determined byP), and we call a connecting…

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Informally, a surface of revolution is a 2-dimensional Riemannian manifold Σ equipped with an isometric circle action. Surfaces of revolution are among the simplest objects in differential geometry;…

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Since any compact C two-dimensional submanifold of euclidean 3-space R must have positive Gaussian curvature at some point, it follows that the 2-torus with flat metric and the compact orientable…

The Spectrum and Isometric Embeddings of Surfaces of Revolution

  • M. Engman
  • Mathematics
    Canadian Mathematical Bulletin
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Abstract A sharp upper bound on the first ${{S}^{1}}$ invariant eigenvalue of the Laplacian for ${{S}^{1}}$ invariant metrics on ${{S}^{2}}$ is used to find obstructions to the existence of…

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If you really want to be smarter, reading can be one of the lots ways to evoke and realize. Many people who like reading will have more knowledge and experiences. Reading can be a way to gain…

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