4 papers
math.DG2025
Equivariant constructions of spheres with Zoll families of minimal spheres
Lucas Ambrozio, Diego Guajardo
We construct one-parameter deformations of the Euclidean sphere inside that admit a Zoll family of codimension one embedded minimal spheres, in al…
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…
math.DG2022
Genuine deformations of Euclidean hypersurfaces in higher codimensions I
D. Guajardo
Sbrana and Cartan gave local classifications for the set of Euclidean hypersurfaces which admit another genuine isometric immersions in $\mathbb{R}^{…