Resumen de Constancy of Jacobi osculating rank of g.o. spaces of compact and non-compact type

Teresa Arias Marco , Andreas Arvanitoyeorgos, Antonio Martínez Naveira

• We prove that if M is either a compact g. o. space which is not naturally reductive, or a g. o. space which admits a transitive non-compact semisimple Lie group of isometries and is not naturally reductive, then its Jacobi osculating rank is not always constant. © 2011 Springer-Verlag.