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A Benchmark Set of Bioactive Molecules for Diversity Analysis of Compound Libraries and Combinatorial Chemical Spaces. [PDF]

J Chem Inf Model
Neumann A, Klein R.
europepmc   +1 more source

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Homogeneous Spaces with Sections

manuscripta mathematica, 2005
Let \(M\) be a connected complete Riemannian manifold. A section in \(M\) is a connected, totally geodesic, homogeneous submanifold \(\Sigma\) with the property that for all geodesics \(\gamma : {\mathbb R} \to M\) there exists an isometry \(g\) of \(M\) such that \(g \cdot \gamma({\mathbb R}) \subset \Sigma\) and \(g \cdot \gamma(0) = p\) for a fixed ...
Kollross, A., Samiou, E., Kollross, A., Samiou, E.   +3 more
openaire   +4 more sources

Strict positive definiteness on products of compact two-point homogeneous spaces

, 2016
We present an explicit characterization for the real, continuous, isotropic and strictly positive definite kernels on a product of compact two-point homogeneous spaces, covering almost all possible choices for the spaces.
V. S. Barbosa, V. Menegatto
semanticscholar   +1 more source

Two Weight Commutators on Spaces of Homogeneous Type and Applications

Journal of Geometric Analysis, 2018
In this paper, we establish the two weight commutator theorem of Calderón–Zygmund operators in the sense of Coifman–Weiss on spaces of homogeneous type, by studying the weighted Hardy and BMO space for $$A_2$$ A 2 weights and by proving the sparse ...
X. Duong, Ruming Gong, Marie-Jose S. Kuffner, Ji Li, B. Wick, Dongyong Yang   +5 more
semanticscholar   +1 more source

ON THE SEMICHARACTERISTICS OF HOMOGENEOUS SPACES

The Quarterly Journal of Mathematics, 1985
This paper analyzes the Kervaire semicharacteristic of homogeneous spaces G/H, \(k(G/H)=\dim H^{2*}(G/H; {\mathbb{Z}}_ 2) (mod 2)\). Particular attention is paid to the case \(G=SU(n)\), and for example, one result is the following Theorem: Let H be a connected simple Lie subgroup of SU(n) with dim(SU(n)/H) odd.
openaire   +1 more source

Wavefunctions on Homogeneous Spaces

Journal of Mathematical Physics, 1969
The properties of a class of homogeneous spaces of the Poincaré group are discussed. An 8-dimensional space appears especially promising and the explicit unitary irreducible representations corresponding to physical particles are given using scalar wavefunctions on this space.
Bacry, H., Kihlberg, A.
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KILLING VECTOR FIELDS OF CONSTANT LENGTH ON RIEMANNIAN NORMAL HOMOGENEOUS SPACES

, 2014
Killing vector fields of constant length correspond to isometries of constant displacement. Those in turn have been used to study homogeneity of Riemannian and Finsler quotient manifolds. Almost all of that work has been done for group manifolds or, more
Ming Xu, J. Wolf
semanticscholar   +1 more source