Results 301 to 310 of about 1,196,150 (335)

A comprehensive review of spatial transcriptomics data alignment and integration. [PDF]

Nucleic Acids Res
Khan M, Arslanturk S, Draghici S.
europepmc   +1 more source

Scientific Machine Learning for Elastic and Acoustic Wave Propagation: Neural Operator and Physics-Guided Neural Network. [PDF]

Sensors (Basel)
Mehtaj N, Banerjee S.
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
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Metrically homogeneous spaces [PDF]

Russian Mathematical Surveys, 2002
Summary: This survey discusses the problem of describing properties of the class of metric spaces in which the Uryson construction of a universal homogeneous metric space (for this class) can be carried out axiomatically. One of the main properties of this kind is the possibility of gluing together two metrics given on closed subsets and coinciding on ...
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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.
Henri Bacry, Arne Kihlberg
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Distributions on homogeneous spaces

Journal of Soviet Mathematics, 1980
A survey of results and ideas in the general analytic treatment of the theory of distributions on homogeneous spaces is presented.
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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.
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On the signature of homogeneous spaces

Geometriae Dedicata, 1992
The author calculates the signatures of real and quaternionic Grassmannians and all homogeneous spaces of compact exceptional Lie groups. Let \(G\), \(H\) be compact connected Lie groups such that \(H\subset G\) and \(\text{rank}(G)=\text{rank}(H)\). Relative to a common maximal torus \(T\subset H\subset G\) one denotes by \(\Sigma\) resp.
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Metrically Homogeneous Spaces

American Journal of Mathematics, 1946
Not ...
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