This book focuses on a selection of special topics, with emphasis
on past and present research of the authors on "canonical"
Riemannian metrics on smooth manifolds. On the backdrop of the
fundamental contributions given by many experts in the field, the
volume offers a self-contained view of the wide class of "Curvature
Conditions" and "Critical Metrics" of suitable Riemannian
functionals. The authors describe the classical examples and the
relevant generalizations. This monograph is the winner of the 2020
Ferran Sunyer i Balaguer Prize, a prestigious award for books of
expository nature presenting the latest developments in an active
area of research in mathematics.
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