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Real and Complex Submanifolds

Daejeon, Korea, August 2014

  • Conference proceedings
  • © 2014

Overview

Editors:
  1. Young Jin Suh

    1. Department of Mathematics, Kyungpook National University, Daegu, Republic of Korea

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  2. Jürgen Berndt

    1. Department of Mathematics, King’s College London, London, UK

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  3. Yoshihiro Ohnita

    1. Department of Mathematics, Osaka City University, Osaka, Japan

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  4. Byung Hak Kim

    1. Department of Applied Mathematics, Kyung Hee University, Yongin, Republic of Korea

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  5. Hyunjin Lee

    1. The Center for Geometry and its Applications, Pohang University of Science and Technology, Pohang, Republic of Korea

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  • Provides classification problems and some new results in real and complex Grassmann manifolds
  • Introduces recent progress in geometric structures developed on Lagrangian submanifolds, Riemannian symmetric spaces, and Lorentzian manifolds
  • Presents investigations of several kinds of geometric properties on Riemannian manifolds by famous differential geometers from all over the world

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 106)

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Table of contents (46 papers)

  1. Front Matter

    Pages i-xii
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  3. Invited Talks

    1. Front Matter

      Pages 77-77
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    2. Information Geometry of Barycenter Map

      • Mitsuhiro Itoh, Hiroyasu Satoh
      Pages 79-88

    3. Stability of Complete Minimal Lagrangian Submanifold and L 2 Harmonic 1-Forms

      • Reiko Miyaoka, Satoshi Ueki
      Pages 89-95

    4. Bonnesen-Style Symmetric Mixed Isoperimetric Inequality

      • Wenxue Xu, Jiazu Zhou, Baocheng Zhu
      Pages 97-107

    5. Cho Operators on Real Hypersurfaces in Complex Projective Space

      • Juan de Dios Pérez, Young Jin Suh
      Pages 109-116

    6. Geometry of Lagrangian Submanifolds Related to Isoparametric Hypersurfaces

      • Yoshihiro Ohnita
      Pages 117-127

    7. Isometric Deformations of Surfaces with Singularities

      • Masaaki Umehara
      Pages 129-140

  4. Contributed Talks

    1. Front Matter

      Pages 141-141
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    2. Beyond Generalized Sasakian-Space-Forms!

      • Alfonso Carriazo
      Pages 143-153

    3. Some Geometric Aspects of the Hessian One Equation

      • Antonio Martínez, Francisco Milán
      Pages 155-165

    4. Affine Isoperimetric Inequalities for L p Geominimal Surface Area

      • Baocheng Zhu, Jiazu Zhou, Wenxue Xu
      Pages 167-176

    5. Real Hypersurfaces in Complex Two-Plane Grassmannians with Commuting Jacobi Operators

      • Eunmi Pak, Young Jin Suh, Changhwa Woo
      Pages 177-185
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Keywords

About this book

Edited in collaboration with the Grassmann Research Group, this book contains many important articles delivered at the ICM 2014 Satellite Conference and the 18th International Workshop on Real and Complex Submanifolds, which was held at the National Institute for Mathematical Sciences, Daejeon, Republic of Korea, August 10–12, 2014.

The book covers various aspects of differential geometry focused on submanifolds, symmetric spaces, Riemannian and Lorentzian manifolds, and Kähler and Grassmann manifolds.

Editors and Affiliations

  • Department of Mathematics, Kyungpook National University, Daegu, Republic of Korea

    Young Jin Suh

  • Department of Mathematics, King’s College London, London, UK

    Jürgen Berndt

  • Department of Mathematics, Osaka City University, Osaka, Japan

    Yoshihiro Ohnita

  • Department of Applied Mathematics, Kyung Hee University, Yongin, Republic of Korea

    Byung Hak Kim

  • The Center for Geometry and its Applications, Pohang University of Science and Technology, Pohang, Republic of Korea

    Hyunjin Lee

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