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math.DG2013★ 3 cited
Lagrangian submanifolds with prescribed second fundamental form
Bang-Yen Chen, Joeri Van der Veken, Luc Vrancken
We classify Lagrangian submanifolds of complex space forms, whose second fundamental form can be written in a certain way, depending on a real parameter. For some special values of…
math.DG2013
Curvature inequalities for Lagrangian submanifolds: the final solution
Bang-Yen Chen, Franki Dillen, Joeri Van der Veken +1
Let be an -dimensional Lagrangian submanifold of a complex space form. We prove a pointwise inequality $$δ(n_1,\ldots,n_k) \leq a(n,k,n_1,\ldots,n_k) \|H\|^2 + b(n,k,n_1,\ld…