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Differential Geometry and Global Analysis: In Honor of Tadashi Nagano
 
Edited by: Bang-Yen Chen Michigan State University, East Lansing, MI
Nicholas D. Brubaker California State University, Fullerton, CA
Takashi Sakai Tokyo Metropolitan University, Tokyo, Japan
Bogdan D. Suceavă California State University, Fullerton, CA
Makiko Sumi Tanaka Tokyo University of Science, Chiba, Japan
Hiroshi Tamaru Osaka City University, Osaka, Japan
Mihaela B. Vajiac Chapman University, Orange, CA
Differential Geometry and Global Analysis
Softcover ISBN:  978-1-4704-6015-0
Product Code:  CONM/777
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-1-4704-6874-3
Product Code:  CONM/777.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-6015-0
eBook: ISBN:  978-1-4704-6874-3
Product Code:  CONM/777.B
List Price: $250.00 $187.50
MAA Member Price: $225.00 $168.75
AMS Member Price: $200.00 $150.00
Differential Geometry and Global Analysis
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Differential Geometry and Global Analysis: In Honor of Tadashi Nagano
Edited by: Bang-Yen Chen Michigan State University, East Lansing, MI
Nicholas D. Brubaker California State University, Fullerton, CA
Takashi Sakai Tokyo Metropolitan University, Tokyo, Japan
Bogdan D. Suceavă California State University, Fullerton, CA
Makiko Sumi Tanaka Tokyo University of Science, Chiba, Japan
Hiroshi Tamaru Osaka City University, Osaka, Japan
Mihaela B. Vajiac Chapman University, Orange, CA
Softcover ISBN:  978-1-4704-6015-0
Product Code:  CONM/777
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
eBook ISBN:  978-1-4704-6874-3
Product Code:  CONM/777.E
List Price: $125.00
MAA Member Price: $112.50
AMS Member Price: $100.00
Softcover ISBN:  978-1-4704-6015-0
eBook ISBN:  978-1-4704-6874-3
Product Code:  CONM/777.B
List Price: $250.00 $187.50
MAA Member Price: $225.00 $168.75
AMS Member Price: $200.00 $150.00
  • Book Details
     
     
    Contemporary Mathematics
    Volume: 7772022; 225 pp
    MSC: Primary 53; 58

    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 recalling historical results, 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.

    Readership

    Graduate students and research mathematicians interested in differential geometry and global analysis on manifolds.

  • Table of Contents
     
     
    • Articles
    • Bang-Yen Chen, Takushiro Ochiai and Makiko Sumi Tanaka — To the memory of Professor Tadashi Nagano
    • Nicholas D. Brubaker — Bifurcations of minimal surfaces via index theory
    • Bang-Yen Chen — The $(M_{+},M_{-})$-method on compact symmetric spaces and its applications
    • Dorel Fetcu and Cezar Oniciuc — Biharmonic and biconservative hypersurfaces in space forms
    • Yu Fu, Dan Yang and Xin Zhan — Recent progress of biharmonic hypersurfaces in space forms
    • Akira Kubo, Mika Nagashiki, Takayuki Okuda and Hiroshi Tamaru — A commutativity condition for subsets in quandles — a generalization of antipodal subsets
    • Helton Leal and Zhiqin Lu — Spectral gaps of the Laplacian on differential forms
    • Jae Won Lee, Chul Woo Lee, Bayram Şahin and Gabriel-Eduard Vîlcu — Chen-Ricci inequalities for Riemannian maps and their applications
    • Marilena Moruz, Joeri Van der Veken, Luc Vrancken and Anne Wijffels — Totally geodesic surfaces in the complex quadric
    • Yoshihiro Ohnita — Parallel Kähler submanifolds and $R$-spaces
    • Peter Quast and Takashi Sakai — A survey on natural $\Gamma $-symmetric structures on $R$-spaces
    • Shoo Seto — On the first eigenvalue of the $p$-Laplacian on Riemannian manifolds
    • Makiko Sumi Tanaka and Hiroyuki Tasaki — Polars of disconnected compact Lie groups
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 7772022; 225 pp
MSC: Primary 53; 58

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 recalling historical results, 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.

Readership

Graduate students and research mathematicians interested in differential geometry and global analysis on manifolds.

  • Articles
  • Bang-Yen Chen, Takushiro Ochiai and Makiko Sumi Tanaka — To the memory of Professor Tadashi Nagano
  • Nicholas D. Brubaker — Bifurcations of minimal surfaces via index theory
  • Bang-Yen Chen — The $(M_{+},M_{-})$-method on compact symmetric spaces and its applications
  • Dorel Fetcu and Cezar Oniciuc — Biharmonic and biconservative hypersurfaces in space forms
  • Yu Fu, Dan Yang and Xin Zhan — Recent progress of biharmonic hypersurfaces in space forms
  • Akira Kubo, Mika Nagashiki, Takayuki Okuda and Hiroshi Tamaru — A commutativity condition for subsets in quandles — a generalization of antipodal subsets
  • Helton Leal and Zhiqin Lu — Spectral gaps of the Laplacian on differential forms
  • Jae Won Lee, Chul Woo Lee, Bayram Şahin and Gabriel-Eduard Vîlcu — Chen-Ricci inequalities for Riemannian maps and their applications
  • Marilena Moruz, Joeri Van der Veken, Luc Vrancken and Anne Wijffels — Totally geodesic surfaces in the complex quadric
  • Yoshihiro Ohnita — Parallel Kähler submanifolds and $R$-spaces
  • Peter Quast and Takashi Sakai — A survey on natural $\Gamma $-symmetric structures on $R$-spaces
  • Shoo Seto — On the first eigenvalue of the $p$-Laplacian on Riemannian manifolds
  • Makiko Sumi Tanaka and Hiroyuki Tasaki — Polars of disconnected compact Lie groups
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.