Hermitian–Grassmannian Submanifolds

1. Front Matter

   Pages i-xi

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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

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.

• Hermitian symmetric spaces
• Complex Quadrics
• Complex two-plane Grassmannians
• Sasakian space forms
• Kaehler manifolds
• Hopf hypersurfaces
• Lagrangian submanifolds
• Symmetric mixed isoperimetric inequality
• Lorentzian manifolds
• Integral geometry

• 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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