1,723,263 research outputs found
Robustness of statistical manifolds
Full text linkTopology consisting of statistical structures induced by ( Gromov implicit function theorem, we show robustness of the generic statistical structure induced on M by the standard linear statistical structure on RN , for N sufficiently large. A statistical structure (g, T) on a smooth manifold M induced by ( said to be robust if there exists an open neighborhood of (g, T) in the fine C infinity- T tilde ). Using Nash- tilde M, g tilde , T tilde ) is tilde M, g tilde ,(c) 2023 Elsevier B.V. All rights reserved
Il segno dello "string" della carotide interna. Considerazioni cliniche ed angiografiche.
No full textProbability over Płonka sums of Boolean algebras: States, metrics and topology
Full text linkThe paper introduces the notion of state for involutive bisemilattices, a variety which plays the role of algebraic counterpart of weak Kleene logics and whose elements are represented as Płonka sums of Boolean algebras. We investigate the relations between states over an involutive bisemilattice and probability measures over the (Boolean) algebras in the Płonka sum representation and, the direct limit of these algebras. Moreover, we study the metric completion of involutive bisemilattices, as pseudometric spaces, and the topology induced by the pseudometric
KÄhler immersions of KÄhler-Ricci solitons into definite or indefinite complex space forms
Full text linkLet (g, X) be a Kähler-Ricci soliton (KRS) on a complex manifold M. We prove that if the Kähler manifold (M, g) can be Kähler immersed into a definite or indefinite complex space form then g is Einstein. Notice that there is no topological assumptions on the manifold M and the Kähler immersion is not required to be injective. Our result extends the result obtained in Bedulli and Gori [Proc. Amer. Math. Soc. 142 (2014), pp. 1777-1781] asserting that a KRS on a compact Kähler submanifold M ⊂ CPN which is a complete intersection is Kähler-Einstein (KE)
The Płonka product of topological spaces
No full textWe introduce a topological counterpart to the Płonka sums of algebraic structures: the Płonka product of topological spaces. This leads to a duality when considering spaces that are dually equivalent to the algebras used in the construction of the Płonka sum
Embeddings of metric Boolean algebras in RN
Full text linkA Boolean algebra A equipped with a (finitely-additive) positive probability measure m can be turned into a metric space (A,dm), where dm(a,b)=m((a∧¬b)∨(¬a∧b)), for any a,b∈A, sometimes referred to as metric Boolean algebra. In this paper, we study under which conditions the space of atoms of a finite metric Boolean algebra can be isometrically embedded in RN (for a certain N) equipped with the Euclidean metric. In particular, we characterize the topology of the positive measures over a finite algebra A such that the metric space (At(A),dm) embeds isometrically in RN (with the Euclidean metric
Einstein and η -Einstein Sasakian submanifolds in spheres
No full textThe aim of this paper is to study Sasakian immersions of compact Sasakian manifolds into the odd-dimensional sphere equipped with the standard Sasakian structure. We obtain a complete classification of such manifolds in the Einstein and η-Einstein cases when the codimension of the immersion is 4. Moreover, we exhibit infinite families of compact Sasakian η-Einstein manifolds which cannot admit a Sasakian immersion into any odd-dimensional sphere. Finally, we show that, after possibly performing a D-homothetic deformation, a homogeneous Sasakian manifold can be Sasakian immersed into some odd-dimensional sphere if and only if S is regular and either S is simply connected or its fundamental group is finite cyclic
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