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Approximation and decomposition of Gini, Pietra–Ricci and Theil inequality measures
Two related problems are dealt with in this article, concerning some popular inequality indices proposed by Gini, Pietra–Ricci and Theil: (1) the calculation of the index when only a frequency distribution is available, thus needing some kind of approximation; and (2) a reasonable decomposition of the index calculated for a mixture, with components ...
Benito Vittorio Frosini
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Some Applications of the Hodge-de Rham Decomposition to Ricci Solitons
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Aquino, C., Barros, A., Ribeiro, E. jun.
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Social Science Research Network, 2023
In this article, we consider an orthogonal decomposition of the traceless part of the Ricci tensor of a compact Riemannian manifold and study its application to the geometry of compact almost Ricci solitons.
J. Mikeš, S. Stepanov, I. Tsyganok
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In this article, we consider an orthogonal decomposition of the traceless part of the Ricci tensor of a compact Riemannian manifold and study its application to the geometry of compact almost Ricci solitons.
J. Mikeš, S. Stepanov, I. Tsyganok
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Sharp isoperimetric comparison on non-collapsed spaces with lower Ricci bounds
Annales Scientifiques de l'Ecole Normale Supérieure, 2022This paper studies sharp isoperimetric comparison theorems and sharp dimensional concavity properties of the isoperimetric profile for non smooth spaces with lower Ricci curvature bounds, the so-called $N$-dimensional ${\rm RCD}(K,N)$ spaces $(X,\mathsf ...
Gioacchino Antonelli +3 more
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Boundary terms and on-shell action in Ricci-based gravity theories: The Hamiltonian formulation
Physical Review DConsidering the so-called Ricci-based gravity theories, a family of extensions of General Relativity whose action is given by a non-linear function of contractions and products of the (symmetric part of the) Ricci tensor of an independent connection, the
Gerardo Mora-Pérez +3 more
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Ricci solitons as submanifolds of complex hyperbolic spaces
Revista matemática iberoamericanaAny homogeneous expanding Ricci soliton is known to be isometric to a Lie subgroup of the solvable part of the Iwasawa decomposition associated with a symmetric space of non-compact type, with the metric induced as a submanifold.
Ángel Cidre-Díaz +1 more
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