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In this paper we have investigated invariant submanifolds of Lorentzian β-Kenmotsu manifolds and obtained the necessary and sufficient conditions for total geodesic submanifolds of Lorentzian β-Kenmotsu manifolds. We h...

Materias / palabras clave: Science: Mathematics

Materias / palabras clave: hermitian geometry, kähler and hyperkähler geometry, calabi-yau metrics, holomorphic dynamics, almost complex geometry; Science: Mathematics

We observe that the diameter of small (in a locally uniform sense) balls in C 1,1 sub-Riemannian manifolds equals twice the radius. We also prove that, when the regularity of the structure is further lowered to C 0, the ...

To address the issue of autonomous bow-in berthing for inland vessels under environmental influence, a phased manifold-based rapidly-exploring random tree star (PMRRT*) approach is proposed for the trajectory and posture...

On a compact locally conformal Kähler manifold (which is also Gauduchon) satisfying an Einstein-type condition, an inequality between the integrations of Chern forms and the Bochner curvature tensor is proved. While on ...

We show how to use "complementary priors" to eliminate the explaining-away effects that make inference difficult in densely connected belief nets that have many hidden layers. Using complementary priors, we derive a fast...

Scientists working with large volumes of high-dimensional data, such as global climate patterns, stellar spectra, or human gene distributions, regularly confront the problem of dimensionality reduction: finding meaningfu...

Many areas of science depend on exploratory data analysis and visualization. The need to analyze large amounts of multivariate data raises the fundamental problem of dimensionality reduction: how to discover compact repr...

We show that the large N limit of certain conformal field theories in various dimensions include in their Hilbert space a sector describing supergravity on the product of Anti-deSitter spacetimes, spheres and other compa...

Materias / palabras clave: topology, geometry, manifolds, fuzzy sets, differential topology, algebraic topology; Science: Mathematics

Materias / palabras clave: differential geometry, geometry, spaces of affine and projective connections, methods of studying immersed manifolds, elementary geometry, manifolds with a complex or almost complex structure; Science: Mathematics