Abstract
This short note concerns firstly with two inequalities in the geometry of
gradient Ricci solitons (g,f,?) on a smooth manifold M. These inequalities
provide some relationships between the curvature of the Riemannian metric g
and the behavior of the scalar field f through two second order equations
satisfied by the scalar ?. Secondly, we propose several generalizations of
Ricci solitons to the setting of manifolds endowed with linear connections,
not necessary of metric type. Thirdly, we express the usual Ricci solitons
equation in terms of two Golab connections.
Publisher
National Library of Serbia
Cited by
17 articles.
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