EURO-Online login
- New to EURO? Create an account
- I forgot my username and/or my password.
- Help with cookies
(important for IE8 users)
3214. Solitons of the spacelike mean curvature flow in generalized Robertson-Walker spacetimes
Invited abstract in session MD-41: Optimization on Geodesic Metric Spaces I: Smooth case, stream Optimization on Geodesic Metric Spaces: Smooth and Nonsmooth.
Monday, 14:30-16:00Room: 97 (building: 306)
Authors (first author is the speaker)
| 1. | Giovanni Molica Bisci
|
| University of Urbino Carlo Bo |
Abstract
Our purpose in this talk is to present some results related to the study of solitons of the spacelike mean curvature fow in a generalized Robertson-Walker (GRW) spacetime. Under suitable constraints on the warping function and on thecurvatures of the Riemannian fiber, we apply suitable maximum principles in order to obtain nonexistence and uniqueness results concerning these solitons. Applications to standard models of GRW spacetimes, namely, the Einstein-de Sitter spacetime, steady state type spacetimes, de Sitter and antide Sitter spaces, are given. Furthermore, we establish new Calabi-Bernstein type results related to entire spacelike mean curvature flow graphs constructed over the Riemannian fiber of the ambient spacetime (Joint work with Márcio Batista, Henrique F. de Lima and Wallace F. Gomes New York J. Math. 29 (2023) 554–579).
Keywords
- Dynamical Systems
Status: accepted
Back to the list of papers