On the Ricci curvature of nonunimodular solvable metric Lie algebras of small...
AbstractThe Ricci curvature of solvable metric Lie algebras is studied. In particular, we prove that the Ricci operator of any metric nonunimodular solvable Lie algebra of dimension not exceeding 6 has...
View ArticleInteractions between hotspots and the Southwest Indian Ridge during the last...
AbstractThis study investigates the relationship between the hotspot-ridge interaction and the formation of oceanic plateaus and seamounts in the Southwest Indian Ocean. We first calculated the...
View ArticleDecay of magnetic fields in de Sitter and FRW universes
AbstractMagnetic curvature effects, investigated by Barrow and Tsagas (Phys. Rev. D 77, 107302 (2008)), as a mechanism for magnetic field decay in open Friedmann universes (Λ< 0), are applied to...
View ArticleLayered double hydroxides — multifunctional nanomaterials
AbstractLayered double hydroxides (LDH’s), also known as anionic clays, are lamellar inorganic solids. The structure of most of them corresponds to that of mineral hydrotalcite, consisting of...
View ArticleHolonomy Groups and Algebras
AbstractAn affine connection is one of the basic objects of interest in differential geometry. 4 It provides a simple and invariant way of transferring information from one 5 point of a connected...
View ArticleClassification of 7-dimensional einstein nilradicals
AbstractThe problem of classifying Einstein solvmanifolds, or equivalently, Ricci soliton nilmanifolds, is known to be equivalent to a question on the variety \( {\mathfrak{N}_n}\left( \mathbb{C}...
View ArticleTelescopic actions
AbstractA group action H on X is called “telescopic” if for any finitely presented group G, there exists a subgroup H’ in H such that G is isomorphic to the fundamental group of X/H’. We construct...
View ArticleAsteroids Close-Up: What We Have Learned from Twenty Years of Space Exploration
AbstractAsteroids are objects of fundamental scientific importance for several reasons. They are the remnant debris from the formation of the inner solar system. They offer therefore the unique...
View ArticleHarmonicity of the Weyl tensor of left-invariant Riemannian metrics on...
AbstractThis paper provides a complete classification of the four-dimensional unimodular Lie algebras whose Lie groups are endowed with a left-invariant Riemannian metric and a harmonic Weyl tensor.
View ArticleLocally convex surfaces immersed in a Killing submersion
AbstractWe generalize Hadamard-Stoker-Currier Theorems for surfaces immersed in a Killing submersion over a strictly Hadamard surface whose fibers are the trajectories of a unit Killing field. We prove...
View ArticleConstant mean curvature surfaces in warped product manifolds
AbstractWe consider surfaces with constant mean curvature in certain warped product manifolds. We show that any such surface is umbilic, provided that the warping factor satisfies certain structure...
View ArticlePure connection gravity at one loop: instanton background
AbstractIn the “pure connection” formulation General Relativity becomes a particular diffeomorphism invariant SL(2) gauge theory. Using this formalism, we compute the divergent contributions to the...
View ArticleSaturation effects in exclusive ρT,L meson electroproduction
AbstractWe use recent results for the \( \gamma_L^{*}\to {\rho_L} \) and \( \gamma_T^{*}\to {\rho_T} \) impact factors, computed in the impact parameter representation within the collinear...
View ArticleEarly Permian Tarim Large Igneous Province in northwest China
AbstractTarim Large Igneous Province (TLIP) is the second Late Paleozoic LIPs in China after the recognition of Emeishan LIP, and is a hot research topic in geosciences. On the basis of the analysis of...
View ArticleThe space of metrics of positive scalar curvature
AbstractWe study the topology of the space of positive scalar curvature metrics on high dimensional spheres and other spin manifolds. Our main result provides elements in higher homotopy and homology...
View ArticleRobust sparse principal component analysis
AbstractThe model for improving the robustness of sparse principal component analysis (PCA) is proposed in this paper. Instead of the l2-norm variance utilized in the conventional sparse PCA model, the...
View ArticleImpact factor for high-energy two and three jets diffractive production
AbstractWe present the calculation of the impact factor for the γ(∗)→ q\( \overline{q} \)g transition within Balitsky’s high energy operator expansion. We also rederive the impact factor for the γ(∗)→...
View ArticleDirectional movement in response to altered flow in six lowland stream...
AbstractUnderstanding the trait adaptations associated with mobility in Trichoptera larvae under different flow conditions would enhance the understanding of survival mechanisms under flow stress...
View ArticleDesign, fabrication, and measurement of two silicon-based ultraviolet and...
AbstractTwo silicon-based ultraviolet (UV) and blue-extended photodiodes are presented, which were fabricated for light detection in the ultraviolet/blue spectral range. Stripe-shaped and...
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