ABSTRACT
Miyuki KOISO :
On bifurcation and local rigidity of triply periodic minimal surfaces in R3
We use bifurcation theory to determine the existence of infinitely many
new examples of triply periodic minimal surfaces in R3. These
new examples form branches issuing from the H-family, the rPD-family,
the tP-family, and the tD-family, that converge to some degenerate
embedding of the families. As to nondegenerate triply periodic minimal
surfaces, we prove a perturbation result using an equivariant implicit
function theorem.
Joint work with P. Piccione and T. Shoda.
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