11 citations · 42 across the 14 of their papers we have counts for
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math.DG2017
Virtual immersions, and a characterization of symmetric spaces
Ricardo A. E. Mendes, Marco Radeschi
We define virtual immersions, as a generalization of isometric immersions in a pseudo-Riemannian vector space. We show that virtual immersions possess a second fundamental form, wh…
math.DG2017★ 11 cited
Sectional curvature and Weitzenböck formulae
Renato G. Bettiol, Ricardo A. E. Mendes
We establish a new algebraic characterization of sectional curvature bounds and using only curvature terms in the Weitzenböck formulae for symmetric -t…
math.DG2017
Virtual immersions and minimal hypersurfaces in compact symmetric spaces
Ricardo A. E. Mendes, Marco Radeschi
We show that closed, immersed, minimal hypersurfaces in a compact symmetric space satisfy a lower bound on the index plus nullity, which depends linearly on their first Betti numbe…