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Chapter 5 Geometry of Submanifolds

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Book cover Riemannian Geometry and Geometric Analysis

Part of the book series: Universitext ((UTX))

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Abstract

This chapter is devoted to the geometry of submanifolds, in particular, minimal submanifolds.

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Notes

  1. 1.

    In the bibliography, a superscript will indicate the edition of a monograph. For instance,72017 means 7th edition, 2017.

Bibliography

In the bibliography, a superscript will indicate the edition of a monograph. For instance,72017 means 7th edition, 2017.

  1. U. Dierkes, S. Hildebrandt, and F. Sauvigny. Minimal surfaces. Springer, 2010.

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  2. U. Dierkes, S. Hildebrandt, and A. Tromba. Regularity of minimal surfaces. Springer, 2010.

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  3. J. Eschenburg and J. Jost. Differentialgeometrie und Minimalflächen. Springer,32013.

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  4. P. Li. Geometric analysis. Cambr.Univ.Press, 2012.

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  5. J.C.C. Nitsche. Lectures on minimal surfaces, Vol. I. Cambridge Univ. Press, 1989.

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  6. Y.L. Xin. Minimal submanifolds and related topics. World Scientific, 2004.

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Jost, J. (2017). Chapter 5 Geometry of Submanifolds. In: Riemannian Geometry and Geometric Analysis. Universitext. Springer, Cham. https://doi.org/10.1007/978-3-319-61860-9_5

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