Geometry and Analysis on Manifolds

Chapter 1 In Memory of Professor Shoshichi Kobayashi

Chapter 2 Events Surrounding the Birth of the Kobayashi Metric

Chapter 3 Academic Genealogy of Shoshichi Kobayashi and Individuals Who Influenced Him

Chapter 4 Algebraic Differential Equations for Entire Holomorphic Curves in Projective Hypersurfaces of General Type: Optimal Lower Degree Bound

Chapter 5 Kobayashi Hyperbolicity and Lang’s Conjecture

Chapter 6 A Lemma on Hartogs Function and Application to Levi Flat Hypersurfaces in Hopf Surfaces

Chapter 7 On the Extremal Measure on a Complex Manifold

Chapter 8 A Lang Exceptional Set for Integral Points

Chapter 9 Kobayashi Hyperbolicity and Higher-dimensional Nevanlinna Theory

Chapter 10 Geometry and Arithmetic on the Siegel–Jacobi Space

Chapter 11 On the Pseudonorm Project of Birational Classification of Algebraic Varieties

Chapter 12 The Weighted Laplacians on Real and Complex Metric Measure Spaces

Chapter 13 Locally Conformally Kähler Structures on Homogeneous Spaces

Chapter 14 A Note on Vanishing Theorems

Chapter 15 Dupin Hypersurfaces in Lie Sphere Geometry

Chapter 16 The Donaldson–Futaki Invariant for Sequences of Test Configurations

Chapter 17 Strong K-stability and Asymptotic Chow-stability

Chapter 18 Traces and Characteristic Classes in Infinite Dimensions

Chapter 19 Moment Map Description of the Cartan–Münzner Polynomials of Degree Four

Chapter 20 Ribaucour Pairs Corresponding to Dual Pairs of Conformally Flat Hypersurfaces

Chapter 21 Geometry of Symmetric R -spaces