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math.DG2000
Sextactic points on a simple closed curve
Gudlaugur Thorbergsson, Masaaki Umehara
We give optimal lower bounds for the number of sextactic points on a simple closed curve in the real projective plane. Sextactic points are after inflection points the simplest pro…
math.DG2000
An analogue of minimal surface theory in SL(n,C)/SU(n)
Masatoshi Kokubu, Masaro Takahashi, Masaaki Umehara +1
We shall discuss the class of surfaces with holomorphic right Gauss maps in non-compact duals of compact semisimple Lie groups (e.g. SL(n,C)/SU(n)), which contains minimal surfaces…