906 resultados para Ricci, Scipione de, Obispo,


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"Selected from the Memoirs of Scipio de Ricci ... Edited from the original of Mr. de Potter, by Thomas Roscoe. London, 1829."--Notice.

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Mode of access: Internet.

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Wilking has recently shown that one can associate a Ricci flow invariant cone of curvature operators , which are nonnegative in a suitable sense, to every invariant subset . In this article we show that if is an invariant subset of such that is closed and denotes the cone of curvature operators which are positive in the appropriate sense then one of the two possibilities holds: (a) The connected sum of any two Riemannian manifolds with curvature operators in also admits a metric with curvature operator in (b) The normalized Ricci flow on any compact Riemannian manifold with curvature operator in converges to a metric of constant positive sectional curvature. We also point out that if is an arbitrary subset, then is contained in the cone of curvature operators with nonnegative isotropic curvature.

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In the vector space of algebraic curvature operators we study the reaction ODE which is associated to the evolution equation of the Riemann curvature operator along the Ricci flow. More precisely, we give a partial classification of the zeros of this ODE up to suitable normalization and analyze the stability of a special class of zeros of the same. In particular, we show that the ODE is unstable near the curvature operators of the Riemannian product spaces where is an Einstein (locally) symmetric space of compact type and not a spherical space form when .

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Let (M, g) be a compact Ricci-fiat 4-manifold. For p is an element of M let K-max(P) (respectively K-min(p)) denote the maximum (respectively the minimum) of sectional curvatures at p. We prove that if K-max(p) <= -cK(min)(P) for all p is an element of M, for some constant c with 0 <= c < 2+root 6/4 then (M, g) is fiat. We prove a similar result for compact Ricci-flat Kahler surfaces. Let (M, g) be such a surface and for p is an element of M let H-max(p) (respectively H-min(P)) denote the maximum (respectively the minimum) of holomorphic sectional curvatures at p. If H-max(P) <= -cH(min)(P) for all p is an element of M, for some constant c with 0 <= c < 1+root 3/2, then (M, g) is flat. (C) 2015 Elsevier B.V. All rights reserved.

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We consider Ricci flow invariant cones C in the space of curvature operators lying between the cones ``nonnegative Ricci curvature'' and ``nonnegative curvature operator''. Assuming some mild control on the scalar curvature of the Ricci flow, we show that if a solution to the Ricci flow has its curvature operator which satisfies R + epsilon I is an element of C at the initial time, then it satisfies R + epsilon I is an element of C on some time interval depending only on the scalar curvature control. This allows us to link Gromov-Hausdorff convergence and Ricci flow convergence when the limit is smooth and R + I is an element of C along the sequence of initial conditions. Another application is a stability result for manifolds whose curvature operator is almost in C. Finally, we study the case where C is contained in the cone of operators whose sectional curvature is nonnegative. This allows us to weaken the assumptions of the previously mentioned applications. In particular, we construct a Ricci flow for a class of (not too) singular Alexandrov spaces.

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This note is a study of nonnegativity conditions on curvature preserved by the Ricci flow. We focus on a specific class of curvature conditions which we call non-coercive: These are the conditions for which nonnegative curvature and vanishing scalar curvature does not imply flatness. We show, in dimensions greater than 4, that if a Ricci flow invariant nonnegativity condition is satisfied by all Einstein curvature operators with nonnegative scalar curvature, then this condition is just the nonnegativity of scalar curvature. As a corollary, we obtain that a Ricci flow invariant curvature condition, which is stronger than a nonnegative scalar curvature, cannot be strictly satisfied by curvature operators (other than multiples of the identity) of compact Einstein symmetric spaces. We also investigate conditions which are satisfied by all conformally flat manifolds with nonnegative scalar curvature.

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Visto il n. 14 del Documento “Sviluppo e solidarietà. Chiesa italiana e Mezzogiorno” (18 ottobre 1989) della Conferenza episcopale italiana nel quale si afferma: «Deve essere ben chiaro che questo fenomeno [la criminalità organizzata] non è il Mezzogiorno; ne è invece solo una malattia, un cancro contro il quale la coscienza generale del Sud, assieme a quella di tutto il Paese, si indigna e reagisce. La Chiesa italiana condanna radicalmente queste organizzazioni criminose ed esorta gli uomini “mafiosi” ad una svolta nel loro comportamento. Il loro agire offende l’uomo, la società, ogni senso etico, religioso, il senso stesso dell’“onore” e si ritorce, poi, contro loro stessi»...

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Resumen: El munus santificandi de la Iglesia incluye las exequias eclesiásticas. Así el Código vigente presenta este acto de culto como uno de los derechos que posee todo fiel, pero también considerando la posibilidad de su negativa. El decreto comentado es un ejemplo de disposición pastoral por la que un Obispo diocesano, considerando también el magisterio y la legislación universal y particular determina que la condena civil por mafia en un fiel que no se ha arrepentido es motivo de negar las exequias. Un ejemplo que podría extenderse a todo delito organizado, a modo de pecador manifiesto más allá de su denominación local.

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Resumen: Este aporte intenta lograr una mirada sincrónica de la tragedia que se llevó de este mundo a Mons. Enrique Angelelli. La trama humana en su conjunto se desarrolla entre tristezas y alegrías y, también, lógicamente, la historia de la Iglesia posee los mismos condimentos. Pero, la clave está en la luz con la cual miramos estos acontecimientos que, en este caso, no sólo será científica o meramente sociológica sino, fundamentalmente, teológica. Así, al recoger los testimonios del pueblo de Dios, presentamos un hecho histórico reflejado a través del prisma de la fe.

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Introducción: El canon 492 § 1 del Código de Derecho Canónico dice que en cada diócesis ha de constituirse un Consejo de asuntos económicos presidido por el Obispo diocesano o su delegado. La norma, en consonancia con los documentos conciliares Lumen gentium, Apostolicam actuositatem, Ad gentes y Presbyterorum ordinis, establece que la presidencia le compete al Obispo diocesano, que puede ejercerla por sí o por un delegado suyo. El Consejo es presidido por el Obispo diocesano, no por el Ordinario del lugar, pero el Obispo puede hacerse sustituir por su delegado. Le Tourneau expresa que el Código parece utilizar en forma indistinta los términos "praesse” y "praesidare”, como en el caso presente. Sin embargo parece que el término "praesidare" hace referencia a las situaciones de delegación y no de mandato especial. El canon 492 permite que el Obispo diocesano pueda modificar la estructura del Consejo de asuntos económicos, sea para prestar un servicio más rápido a la comunidad, sea para llamar a participar de la responsabilidad a personas particularmente capaces y expertas, pudiendo delegar la presidencia de dicho Consejo a otra persona.