Results 11 to 20 of about 1,976,434 (298)
Lifting Dual Connections with the Riemann Extension
Let (M,g) be a Riemannian manifold equipped with a pair of dual connections (∇,∇*). Such a structure is known as a statistical manifold since it was defined in the context of information geometry.
Stéphane Puechmorel
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From Dual Connections to Almost Contact Structures
A dualistic structure on a smooth Riemaniann manifold M is a triple (M,g,∇) with g a Riemaniann metric and ∇ an affine connection generally assumed to be torsionless. From g and ∇, dual connection ∇* can be defined.
Emmanuel Gnandi, Stéphane Puechmorel
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The dual circulation of the lungs and their connections
The bronchial and pulmonary circulations are outlined and their relevance to certain pathological conditions is conjectured.
L. Bütow
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AbstractThe dual of a polyhedron is a polyhedron—or in graph‐theoretical terms: the dual of a 3‐connected plane graph is a 3‐connected plane graph. Astonishingly, except for sufficiently large facewidth, not much is known about the connectivity of the dual on higher surfaces. Are the duals of 3‐connected embedded graphs of higher genus 3‐connected, too?
Drago Bokal +2 more
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Affine Differential Geometric Control Tools for Statistical Manifolds
The paper generalizes and extends the notions of dual connections and of statistical manifold, with and without torsion. Links with the deformation algebras and with the Riemannian Rinehart algebras are established.
Iulia-Elena Hirica +3 more
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In this study, some identities involving the Riemannian curvature invariants are presented on lightlike hypersurfaces of a statistical manifold in the Lorentzian settings. Several inequalities characterizing lightlike hypersurfaces are obtained.
Oğuzhan Bahadır +3 more
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On Almost Norden Statistical Manifolds
We consider a statistical connection ∇ on an almost complex manifold with (pseudo-) Riemannian metric, in particular the Norden metric. We investigate almost Norden (statistical) manifolds under the condition that the almost complex structure J is ...
Leila Samereh +2 more
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Construction of new self-dual codes and quantum codes and their connections.
Construction of new self-dual codes and quantum codes and their ...
Jon-Lark. Kim (7973078)
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Conformal Control Tools for Statistical Manifolds and for γ-Manifolds
The theory of statistical manifolds w.r.t. a conformal structure is reviewed in a creative manner and developed. By analogy, the γ-manifolds are introduced. New conformal invariant tools are defined.
Iulia-Elena Hirica +3 more
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Connections between Linear Complementary Dual Codes, Permanents and Geometry
Linear codes with complementary duals, or LCD codes, have recently been applied to side-channel and fault injection attack-resistant cryptographic countermeasures.
Adel N. Alahmadi +5 more
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