Geodesic
A Tour Through $\delta$-invariants: from Nash's Embedding Theorem to Ideal Immersions, Best Ways of Living and Beyond
Publications de l'Institut Mathématique, _N_S_94 (2013) no. 108, p. 67

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First I will explain my motivation to introduce the $\delta$-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 $\delta$-invariants to several areas in mathematics. Finally, I will present two optimal inequalities involving $\delta$-invariants for Lagrangian submanifolds obtained very recently in joint papers with F. Dillen, J. Van der Veken and L. Vrancken.
Classification : 5202 53A07 35P15 53B21 53C40 92K99 
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     title = {A {Tour} {Through} $\delta$-invariants: from {Nash's} {Embedding} {Theorem} to {Ideal} {Immersions,} {Best} {Ways} of {Living} and {Beyond}},
     journal = {Publications de l'Institut Math\'ematique},
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     publisher = {mathdoc},
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Bang-Yen Chen. A Tour Through $\delta$-invariants: from Nash's Embedding Theorem to Ideal Immersions, Best Ways of Living and Beyond. Publications de l'Institut Mathématique, _N_S_94 (2013) no. 108, p. 67 . http://geodesic.mathdoc.fr/item/PIM_2013_N_S_94_108_a6/