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Differential geometry and global analysis. AMS special session honoring the memory of Tadashi Nagano (1930–2017), Denver, CO, USA, January 16, 2020. (English) Zbl 1495.53004

Contemporary Mathematics 777. Providence, RI: American Mathematical Society (AMS) (ISBN 978-1-4704-6015-0/pbk; 978-1-4704-6874-3/ebook). xiv, 225 p. (2022).

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Publisher’s description: 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 the 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.
The articles of this volume will be reviewed individually.
Indexed articles:
Chen, Bang-Yen; Ochiai, Takushiro; Tanaka, Makiko Sumi, To the memory of Professor Tadashi Nagano, 1-20 [Zbl 1489.01021]
Brubaker, Nicholas D., Bifurcations of minimal surfaces via index theory, 21-39 [Zbl 1495.53019]
Chen, Bang-Yen, The \((M_+,M_-)\)-method on compact symmetric spaces and its applications, 41-64 [Zbl 1501.53071]
Fetcu, Dorel; Oniciuc, Cezar, Biharmonic and biconservative hypersurfaces in space forms, 65-90 [Zbl 1504.53077]
Fu, Yu; Yang, Dan; Zhan, Xin, Recent progress of biharmonic hypersurfaces in space forms, 91-101 [Zbl 1495.53002]
Kubo, Akira; Nagashiki, Mika; Okuda, Takayuki; Tamaru, Hiroshi, A commutativity condition for subsets in quandles – a generalization of antipodal subsets, 103-125 [Zbl 1498.53079]
Leal, Helton; Lu, Zhiqin, Spectral gaps of the Laplacian on differential forms, 127-135 [Zbl 1497.53082]
Lee, Jae Won; Lee, Chul Woo; Şahin, Bayram; Vîlcu, Gabriel-Eduard, Chen-Ricci inequalities for Riemannian maps and their applications, 137-152 [Zbl 1501.53023]
Moruz, Marilena; van der Veken, Joeri; Vrancken, Luc; Wijffels, Anne, Totally geodesic surfaces in the complex quadric, 153-161 [Zbl 1501.53073]
Ohnita, Yoshihiro, Parallel Kähler submanifolds and \(R\)-spaces, 163-184 [Zbl 1497.53102]
Quast, Peter; Sakai, Takashi, A survey on natural \(\Gamma\)-symmetric structures on \(R\)-spaces, 185-197 [Zbl 1495.53003]
Seto, Shoo, On the first eigenvalue of the \(p\)-Laplacian on Riemannian manifolds, 199-209 [Zbl 1496.53002]
Tanaka, Makiko Sumi; Tasaki, Hiroyuki, Polars of disconnected compact Lie groups, 211-225 [Zbl 1497.53099]

MSC:

53-06 Proceedings, conferences, collections, etc. pertaining to differential geometry
53B25 Local submanifolds
53C05 Connections (general theory)
53C15 General geometric structures on manifolds (almost complex, almost product structures, etc.)
53C21 Methods of global Riemannian geometry, including PDE methods; curvature restrictions
53C35 Differential geometry of symmetric spaces
53C40 Global submanifolds
53C42 Differential geometry of immersions (minimal, prescribed curvature, tight, etc.)
53C43 Differential geometric aspects of harmonic maps
58A05 Differentiable manifolds, foundations
58C40 Spectral theory; eigenvalue problems on manifolds
00B25 Proceedings of conferences of miscellaneous specific interest
00B30 Festschriften

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Tadashi Nagano
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