On The Existence of Min-Max Minimal Surface of Genus $g\geq 2$

Details On The Existence of Min-Max Minimal Surface of Genus $g\geq 2$ On The Existence of Min-Max Minimal Surface of Genus $g\geq 2$

2011-11-27

arxiv.org/abs/1111.6206v1

Mathematics

Differential Geometry

36 pages

Scientific paper

We prove an existence theorem similar to that of \cite{CM3}\cite{Z} for min-max minimal surfaces of genus $g\geq 2$ by variational methods. We show that the min-max critical value for the area functional can be achieved by the bubbling limit of branched minimal surfaces with nodes of genus $g$ together with possibly finitely many branched minimal spheres. We also prove a strong convergence theorem similar to the classical mountain pass lemma. It is a further extension of the existence result in \cite{CM3}\cite{Z}.

Affiliated with

Also associated with

No associations

Rating

On The Existence of Min-Max Minimal Surface of Genus $g\geq 2$ does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On The Existence of Min-Max Minimal Surface of Genus $g\geq 2$, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On The Existence of Min-Max Minimal Surface of Genus $g\geq 2$ will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-686632