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math.DG2023
Notes in the isometric deformations problem in codimension 2
Diego Guajardo
We present a discussion about the local isometric rigidity problem in codimension 2 with a concrete example. We show the necessity of extending the notions of genuine and honest ri…
math.DG2023
Chern-Kuiper's inequalities
Diego Guajardo
Given a Euclidean submanifold $\map{g}{M}{n}{\R^{n+p}}$, Chern and Kuiper provided inequalities between and , the ranks of the nullity of and the relative nullity of…