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    3. The Geometry of Total Curvature on Complete Open Surfaces (Repost)

    The Geometry of Total Curvature on Complete Open Surfaces (Repost)

    Posted By: step778
    Date: 13 Nov 2018 08:49:15
    The Geometry of Total Curvature on Complete Open Surfaces (Repost)

    Katsuhiro Shiohama, Takashi Shioya, Minoru Tanaka, "The Geometry of Total Curvature on Complete Open Surfaces"
    2003 | pages: 296 | ISBN: 0521450543 | PDF | 1,4 mb

    This independent account of modern ideas in differential geometry shows how they can be used to understand and extend classical results in integral geometry. The authors explore the influence of total curvature on the metric structure of complete, non-compact Riemannian 2-manifolds, although their work can be extended to more general spaces. Each chapter features open problems, making the volume a suitable learning aid for graduate students and non-specialists who seek an introduction to this modern area of differential geometry.

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