FIRST EIGENVALUES OF GEOMETRIC OPERATORS UNDER THE RICCI FLOW

By Xiaodong Cao. 2007

91 citations recorded by the source corpus.

In this paper, we prove that the first eigenvalues of -A+cfl (c > A) are nondecreasing under the Ricci flow. We also prove the monotonicity under the normalized Ricci flow for the cases c = 1/4 and r < 0.

Subfields: Applied Mathematics, Astronomy and Astrophysics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/9833368aa1dc8ed3a360d67c2a4f44278b7202de

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Applied Mathematics

1. Anton Thalmaier
2. Robert Philipowski
3. Hongxin Guo
4. Feng-Yu Wang

In Astronomy and Astrophysics

1. Anton Thalmaier
2. Robert Philipowski
3. Hongxin Guo

In Geometry and Topology

1. Anton Thalmaier
2. Robert Philipowski
3. Hongxin Guo

Citations in the corpus

• ENTROPY AND LOWEST EIGENVALUE ON EVOLVING MANIFOLDS (2013, methodology): “Classical Quantum Gravity 26 (2009), no. 5, 055015, 14 pp. [2] Cao, Xiaodong.”