Differential Geometry and Global Analysis

In Honor of Tadashi Nagano

Häftad, Engelska, 2022

AvBang-Yen Chen,Nicholas D. Brubaker,Takashi Sakai,Bogdan D. Suceava,Makiko Sumi Tanaka

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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.

Produktinformation

Utgivningsdatum2022-05-30
Mått178 x 254 x 17 mm
Vikt428 g
FormatHäftad
SpråkEngelska
SerieContemporary Mathematics
Antal sidor232
FörlagAmerican Mathematical Society
ISBN9781470460150

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B.-Y. Chen, T. Ochiai, and M. S. Tanaka, To the memory of Professor Tadashi NaganoN. D. Brubaker, Bifurcations of minimnal surfaces via index theoryB.-Y. Chen, The $(M_+,M_)$-method on compact symmetric spaces and its applicationsD. Fetcu and C. Oniciuc, Biharmonic and biconservative hypersurfaces in space formsY. Fu, D. Yang, and X. Zhan, Recent progress of biharmonic hypersurfaces in space formsA. Kubo, M. Nagashiki, T. Okuda, and H. Tamaru, A commutativity condition for subsets in quandles-A generalization of antipodal subsetsH. Leal and L. Lu, Spectral gaps of the Laplacian on differential formsJ. W. Lee, C. W. Lee, B. Sahin, and G.-E. Vilcu, Chen-Ricci inequalities for Riemannian maps and their applicationsM. Moruz, J. Van der Veken, L. Vrancken, and A. Wijffels, Totally geodesic surfaces in the complex quadricY. Ohnita, Parallel Kahler submanifolds and $R$-spacesP. Quast and T. Sakai, A survey on natural $\Gamma$-symmetric structures on $R$-spacesS. Seto, On the first eigenvalue of the $p$-Laplacian on Riemannian manifoldsM. S. Tanaka and H. Tasaki, Polars of disconnected compact Lie groups