A tour through δ-invariants: From Nash’s embedding theorem to ideal immersions, best ways of living and beyond
2013 ◽
Vol 94
(108)
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pp. 67-80
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Keyword(s):
The Many
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First I will explain my motivation to introduce the ?-invariants for Riemannian manifolds. I will also recall the notions of ideal immersions and best ways of living. Then I will present a few of the many applications of ?-invariants in several areas in mathematics. Finally, I will present two optimal inequalities involving ?-invariants for Lagrangian submanifolds obtained very recently in joint papers with F. Dillen, J. Van der Veken and L. Vrancken.