We review recent NMR investigations on superconducting and magnetic propert
ies in layered perovskite Sr2RuO4, isostructural to a high-ir, cuprate. Mea
surements of the Knight shift and the nuclear spin-lattice relaxation rate
1/T-1, have identified its Cooper-pair spin state as a triplet and uncovere
d pronounced anisotropy in spin-fluctuation spectrum in Sr2RuO4. The in-pla
ne low-frequency components of the dynamical susceptibility are exchange-en
hanced with a weak q dependence associated with the two-dimensional (2D) ch
aracter in electronic structure. By contrast, its out-of-plane component is
unexpectedly enhanced by AF spin fluctuations upon cooling below T* simila
r to 130 K where the c-axis resistivity shows metallic behavior. We have fo
und that the slightly-distorted cubic perovskite CaRuO3, is a nearly ferrom
agnetic metal dominated by ferromagnetic spin fluctuations with a Stoner fa
ctor alpha = 0.98. Contrasting behavior of spin fluctuations between Sr2RuO
4 and CaRuO3 is due to their different dimensionality in electronic structu
re with the closeness to ferromagnetism. We remark that a simple ferromagne
tic-spin-fluctuation-mediated mechanism with analogy to He-3 is not appropr
iate for an onset of spin-triplet p-wave superconductivity in Sr2RuO4. Alte
rnately, we propose possible scenario that the in-plane local exchange inte
raction, which originates presumably from the Hund's coupling between the 4
d(xy) and 4d(xy,yz) orbitals, may play a role for the occurrence of spin-tr
iplet p-wave superconductivity. (C) 1999 Elsevier Science S.A. All rights r
eserved.