CIEM 05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
artículos
Título:
THE RICCI PINCHING FUNCTIONAL ON SOLVMANIFOLDS II
Autor/es:
JORGE LAURET, CYNTHIA WILL
Revista:
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
Editorial:
AMER MATHEMATICAL SOC
Referencias:
Lugar: Providence; Año: 2020
ISSN:
0002-9939
Resumen:
It is natural to ask whether solvsolitons are global maxima for the Riccipinching functional F := scal^2/ |Ric|^2 on the set of all left-invariant metrics on a given solvableLie group S, as it is to ask whether they are the only global maxima. A positive answer toboth questions was given in a recent paper by the same authors when the Lie algebra s ofS is either unimodular or has a codimension-one abelian ideal. In the present paper, weprove that this also holds in the following two cases: 1) s has a nilradical of codimension-one; 2) the nilradical n of s is abelian and the functional F is restricted to the set ofmetrics such that a is orthogonal to n, where s = a + n is the orthogonal decomposition with respectto the solvsoliton.
