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Minimal Surfaces, Gauss Maps, Total Curvature, Eigenvalue Estimates, and Stability

In: The Chern Symposium 1979

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  • Robert Osserman

    (Stanford University, Department of Mathematics)

Abstract

The subject matter that I wish to discuss here is one that seems particularly appropriate to this occasion. It is in fact, as will become abundantly clear, one of the many parts of differential geometry where Chern’s influence has been both fundamental and pervasive. What is more, a substantial portion of the body of recent work described here is closely related to, and in many cases directly inspired by, a single paper of Chern’s [19]—his first paper devoted to the theory of minimal surfaces.

Suggested Citation

  • Robert Osserman, 1980. "Minimal Surfaces, Gauss Maps, Total Curvature, Eigenvalue Estimates, and Stability," Springer Books, in: W.-Y. Hsiang & S. Kobayashi & I. M. Singer & J. Wolf & H.-H. Wu & A. Weinstein (ed.), The Chern Symposium 1979, pages 199-227, Springer.
    • Handle: RePEc:spr:sprchp:978-1-4613-8109-9_9
    DOI: 10.1007/978-1-4613-8109-9_9
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