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Hermitian–Grassmannian Submanifolds

Daegu, Korea, July 2016

  • Conference proceedings
  • © 2017

Overview

Editors:
  1. Young Jin Suh

    1. Department of Mathematics and RIRCM, Kyungpook National University , Daegu, Korea (Republic of)

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  2. Yoshihiro Ohnita

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

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  3. Jiazu Zhou

    1. School of Mathematics and Statistics, Southwest University, Chongqing, China

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  4. Byung Hak Kim

    1. Department of Applied Mathematics, Kyung Hee University, Gyeonggi, Korea (Republic of)

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  5. Hyunjin Lee

    1. Research Institute of Real and Complex Manifolds (RIRCM), Kyungpook National University, Daegu, Korea (Republic of)

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  • Includes Riemannian geometry and the link between the physical world and its visualization is geometry
  • Presents advanced differential geometry with an emphasis on geometric results
  • Discusses the Lorentzian manifold, which is the mathematical basis of general relativity theory of gravity
  • Presents applications in various fields, such as physics and econometrics

Part of the book series: Springer Proceedings in Mathematics & Statistics (PROMS, volume 203)

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Table of contents (28 papers)

  1. Front Matter

    Pages i-xi
    Download chapter PDF

  2. Constant Mean Curvature Spacelike Hypersurfaces in Spacetimes with Certain Causal Symmetries

    • Alfonso Romero
    Pages 1-15

  3. Sequences of Maximal Antipodal Sets of Oriented Real Grassmann Manifolds II

    • Hiroyuki Tasaki
    Pages 17-26

  4. Derivatives on Real Hypersurfaces of Non-flat Complex Space Forms

    • Juan de Dios Pérez
    Pages 27-37

  5. Maximal Antipodal Subgroups of the Automorphism Groups of Compact Lie Algebras

    • Makiko Sumi Tanaka, Hiroyuki Tasaki
    Pages 39-47

  6. A Nearly Kähler Submanifold with Vertically Pluri-Harmonic Lift

    • Kazuyuki Hasegawa
    Pages 49-58

  7. The Schwarz Lemma for Super-Conformal Maps

    • Katsuhiro Moriya
    Pages 59-68

  8. Reeb Recurrent Structure Jacobi Operator on Real Hypersurfaces in Complex Two-Plane Grassmannians

    • Hyunjin Lee, Young Jin Suh
    Pages 69-82

  9. Hamiltonian Non-displaceability of the Gauss Images of Isoprametric Hypersurfaces (A Survey)

    • Reiko Miyaoka
    Pages 83-99

  10. Counterexamples to Goldberg Conjecture with Reversed Orientation on Walker 8-Manifolds of Neutral Signature

    • Yasuo Matsushita, Peter R. Law
    Pages 101-114

  11. A Construction of Weakly Reflective Submanifolds in Compact Symmetric Spaces

    • Shinji Ohno
    Pages 115-124

  12. Dual Orlicz Mixed Quermassintegral

    • Jia He, Denghui Wu, Jiazu Zhou
    Pages 125-143

  13. Characterizations of a Clifford Hypersurface in a Unit Sphere

    • Keomkyo Seo
    Pages 145-153

  14. 3-Dimensional Real Hypersurfaces with \(\eta \)-Harmonic Curvature

    • Mayuko Kon
    Pages 155-164

  15. Gromov–Witten Invariants on the Products of Almost Contact Metric Manifolds

    • Yong Seung Cho
    Pages 165-173

  16. On LVMB, but Not LVM, Manifolds

    • Jin Hong Kim
    Pages 175-183

  17. Inequalities for Algebraic Casorati Curvatures and Their Applications II

    • Young Jin Suh, Mukut Mani Tripathi
    Pages 185-200

  18. Volume-Preserving Mean Curvature Flow for Tubes in Rank One Symmetric Spaces of Non-compact Type

    • Naoyuki Koike
    Pages 201-210

  19. A Duality Between Compact Symmetric Triads and Semisimple Pseudo-Riemannian Symmetric Pairs with Applications to Geometry of Hermann Type Actions

    • Kurando Baba, Osamu Ikawa, Atsumu Sasaki
    Pages 211-221

  20. Transversally Complex Submanifolds of a Quaternion Projective Space

    • Kazumi Tsukada
    Pages 223-233
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About this book

This book presents the proceedings of the 20th International Workshop on Hermitian Symmetric Spaces and Submanifolds, which was held at the Kyungpook National University from June 21 to 25, 2016. The Workshop was supported by the Research Institute of Real and Complex Manifolds (RIRCM) and the National Research Foundation of Korea (NRF). The Organizing Committee invited 30 active geometers of differential geometry and related fields from all around the globe to discuss new developments for research in the area. These proceedings provide a detailed overview of recent topics in the field of real and complex submanifolds.

Editors and Affiliations

  • Department of Mathematics and RIRCM, Kyungpook National University , Daegu, Korea (Republic of)

    Young Jin Suh

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

    Yoshihiro Ohnita

  • School of Mathematics and Statistics, Southwest University, Chongqing, China

    Jiazu Zhou

  • Department of Applied Mathematics, Kyung Hee University, Gyeonggi, Korea (Republic of)

    Byung Hak Kim

  • Research Institute of Real and Complex Manifolds (RIRCM), Kyungpook National University, Daegu, Korea (Republic of)

    Hyunjin Lee

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