Hermitian spin surfaces with small eigenvalues of the Dolbeault operator

Details Hermitian spin surfaces with small eigenvalues of the Dolbeault operator Hermitian spin surfaces with small eigenvalues of the Dolbeault operator

2004-03-03

arxiv.org/abs/math/0403074v1

Mathematics

Differential Geometry

13 pages

Scientific paper

We study the compact Hermitian spin surfaces with positive conformal scalar curvature on which the first eigenvalue of the Dolbeault operator of the spin structure is the smallest possible. We prove that such a surface is either a ruled surface or a Hopf surface. We give a complete classification of the ruled surfaces with this property. For the Hopf surfaces we obtain a partial classification and some examples.

Affiliated with

Also associated with

No associations

Rating

Hermitian spin surfaces with small eigenvalues of the Dolbeault operator 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 Hermitian spin surfaces with small eigenvalues of the Dolbeault operator, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Hermitian spin surfaces with small eigenvalues of the Dolbeault operator will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-335530