Bounding the first Dirichlet eigenvalue of a tube around a complex submanifold of $CP^n$ by the degrees of the polynomials defining it

Details Bounding the first Dirichlet eigenvalue of a tube around a complex submanifold of $CP^n$ by the degrees of the polynomials defining it Bounding the first Dirichlet eigenvalue of a tube around a complex submanifold of $CP^n$ by the degrees of the polynomials defining it

2011-10-14

arxiv.org/abs/1110.3206v1

Mathematics

Differential Geometry

11 pages

Scientific paper

We obtain upper bounds for the first Dirichlet eigenvalue of a tube around a complex submanifold $P$ of $CP^n$ which depends only on the radius of the tube, the degrees of the polynomials defining $P$ and the first eigenvalue of some model centers of the tube. The bounds are sharp on these models. Moreover, when the models used are $CP^q$ or the complex hyperquadric, these bounds also give gap phenomena and comparison results.

Affiliated with

Also associated with

No associations

Rating

Bounding the first Dirichlet eigenvalue of a tube around a complex submanifold of $CP^n$ by the degrees of the polynomials defining it 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 Bounding the first Dirichlet eigenvalue of a tube around a complex submanifold of $CP^n$ by the degrees of the polynomials defining it, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Bounding the first Dirichlet eigenvalue of a tube around a complex submanifold of $CP^n$ by the degrees of the polynomials defining it will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-523233