Differential Geometry Seminar: Gluing constructions for constant mean curvature hypersurfaces

Seminar | March 5 | 2:10-3 p.m. | 939 Evans Hall

 Christine Breiner, Fordham University

 Department of Mathematics

Constant mean curvature (CMC) surfaces are critical points for the area functional, subject to an enclosed volume constraint. Classical examples include spheres and cylinders. Until the late 1980's the only other known examples were the Wente torus and the rotationally symmetric surfaces of Delaunay. In 1990, Kapouleas developed a gluing construction that produced infinitely many new examples of CMC surfaces. In this talk, we will discuss an extension and refinement of these ideas that allows us to produce infinitely many new CMC hypersurfaces without symmetries. This work is joint with N. Kapouleas.