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                              Contents


Preface

 


Mitsuhiro Itoh and Hiroyasu Satoh (Tsukuba University, Japan)......................................1

Fisher Information Geometry of Poisson Kernels and Heat Kernels on Riemannian Manifolds


Jiazu Zhou, Min Chang and Fei Cheng (Southwest Universiry, China)..............................21

Invariant measure and geometric probability


Jiazu Zhou, Chunna Zeng and Guangxian Zhu (Southwest University, China)....................33

On geometric measures and convexity


Juan de Dios Pérez and Florentino G. Santos (Universidad de Granada, Spain).................43

On derivatives of the structure Jacobi operator of a real hypersurface in complex projective space


Juan de Dios Pérez and Florentino G. Santos (Universidad de Granada, Spain)

and Young Jin Suh (Kyungpook National University, Korea)............................................59

Real hypersurface in complex space forms with commuting structure Jacobi operator


Juan de Dios Pérez (Universidad de Granada, Spain),

Young Jin Suh (Kyungpook National University, Korea)

and Imsoon Jeong (National Institute for Mathematical Sciences, Korea)..........................69

Real hypersurface in Complex Two-Plane Grassmannians with parallel structure Jacobi  operator


Yoshihiro Ohnita (Osaka City University, Japan).............................................................91

Differential Geometry of Lagrangian Submanifolds and Related Variational Problems


Makoto Kimura (Shimane University, Japan)..................................................................115

Lagrangian submanifolds with totally geodesic foliation in complex projective space


Makoto Kimura (Shimane University, Japan)..................................................................119

Fundamental theorems of Lagrangian surfaces in


Yoonweon Lee (Inha University, Korea)........................................................................125

Relative zeta-determinants of Laplacians on a manifold with cylindrical ends


Jong Taek Cho (Chonnam National University, Korea)....................................................143

Symmetries in contact geometry


Takashi Sakai (Osaka City University, Japan)................................................................161

Weakly reflective orbits and tangentially degenerate orbits of -representations


Tatsuyoshi Hamada (Fukuoka University, Japan)............................................................175

*-Einstein real hypersurfaces of complex space forms


Tatsuyoshi Hamada (Fukuoka University, Japan)............................................................195

KNOPPLX/Math:  A computer environment for Mathematics


Guoxin Wei (Saga University, Japan),

Hae Young Yang and Young Jin Suh (Kyungpook National University, Korea)......................201

Integral inequalities related to rotational hypersurfaces in a unit sphere


Takanari Saotome (Tsukuba University, Japan)..............................................................207

The sub-elliptic complex Monge-Ampère equation and strongly pseudo-convex Manifolds


Young Suk Choi and Young Jin Suh (Kyungpook National University, Korea)......................215

On pseudo-recurrent semi-Kaehler manifolds