About the Book
This volume contains the proceedings of the AMS Special Session on Differential Geometry and Global Analysis, Honoring the Memory of Tadashi Nagano (1930-2017), held January 16, 2020, in Denver, Colorado. Tadashi Nagano was one of the great Japanese differential geometers, whose fundamental and seminal work still attracts much interest today.
This volume is inspired by his work and his legacy and, while reminding historical results obtained in the past, presents recent developments in the geometry of symmetric spaces as well as generalizations of symmetric spaces; minimal surfaces and minimal submanifolds; totally geodesic submanifolds and their classification; Riemannian, affine, projective, and conformal connections; the $(M_{+}, M_{-})$ method and its applications; and maximal antipodal subsets. Additionally, the volume features recent achievements related to biharmonic and biconservative hypersurfaces in space forms, the geometry of Laplace operator on Riemannian manifolds, and Chen-Ricci inequalities for Riemannian maps, among other topics that could attract the interest of any scholar working in differential geometry and global analysis on manifolds.
Table of Contents:
B.-Y. Chen, T. Ochiai, and M. S. Tanaka, To the memory of Professor Tadashi Nagano
N. D. Brubaker, Bifurcations of minimnal surfaces via index theory
B.-Y. Chen, The $(M_+,M_)$-method on compact symmetric spaces and its applications
D. Fetcu and C. Oniciuc, Biharmonic and biconservative hypersurfaces in space forms
Y. Fu, D. Yang, and X. Zhan, Recent progress of biharmonic hypersurfaces in space forms
A. Kubo, M. Nagashiki, T. Okuda, and H. Tamaru, A commutativity condition for subsets in quandles-A generalization of antipodal subsets
H. Leal and L. Lu, Spectral gaps of the Laplacian on differential forms
J. W. Lee, C. W. Lee, B. Sahin, and G.-E. Vilcu, Chen-Ricci inequalities for Riemannian maps and their applications
M. Moruz, J. Van der Veken, L. Vrancken, and A. Wijffels, Totally geodesic surfaces in the complex quadric
Y. Ohnita, Parallel Kahler submanifolds and $R$-spaces
P. Quast and T. Sakai, A survey on natural $\Gamma$-symmetric structures on $R$-spaces
S. Seto, On the first eigenvalue of the $p$-Laplacian on Riemannian manifolds
M. S. Tanaka and H. Tasaki, Polars of disconnected compact Lie groups
About the Author :
Bang-Yen Chen, Michigan State University, East Lansing, MI.
Nicholas D. Brubaker, California State University, Fullerton, CA.
Takashi Sakai, Tokyo Metropolitan University, Japan.
Bogdan D. Suceava, California State University, Fullerton, CA.
Makiko Sumi Tanaka, Tokyo University of Science, Chiba, Japan.
Hiroshi Tamaru, Osaka City University, Japan.
Mihaela B. Vajiac, Chapman University, Orange, CA.
