INVESTIGADORES
LAURET Jorge Ruben
artículos
Título:
The Ricci pinching functional on solvmanifolds
Autor/es:
JORGE LAURET; CYNTHIA WILL
Revista:
QUARTERLY JOURNAL OF MATHEMATICS
Editorial:
OXFORD UNIV PRESS
Referencias:
Lugar: Oxford; Año: 2019
ISSN:
0033-5606
Resumen:
We study the natural functional $F=\frac{\scalar^2}{|\Ricci|^2}$ on the space of all non-flat left-invariant metrics on all solvable Lie groups of a given dimension $n$. As an application of properties of the beta operator, we obtain that solvsolitons are the only global maxima of $F$ restricted to the set of all left-invariant metrics on a given unimodular solvable Lie group, and beyond the unimodular case, we obtain the same result for almost-abelian Lie groups. Many other aspects of the behavior of $F$ are clarified.
