Biharmonic tori in spheres
Dorel Fetcu, Eric Loubeau, and Cezar Oniciuc
TL;DR
This paper investigates the conditions under which certain flat tori with constant mean curvature can be properly biharmonically immersed in spheres, providing explicit formulas for some cases.
Contribution
It establishes necessary and sufficient conditions for proper-biharmonic immersions of rectangular and square tori in spheres, including explicit examples.
Findings
Conditions for proper-biharmonic immersions of tori in spheres
Explicit formulas for some biharmonic tori immersions
Characterization of flat tori with constant mean curvature in spheres
Abstract
We consider proper-biharmonic flat tori with constant mean curvature (CMC) in spheres and find necessary and sufficient conditions for certain rectangular tori and square tori to admit full CMC proper-biharmonic immersions in , as well as the explicit expressions of some of these immersions.
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Taxonomy
TopicsAdvanced Materials and Mechanics · Structural Analysis and Optimization