Convergence of locally homogeneous spaces
Sign Up to like & getrecommendations! Published in 2019 at "Geometriae Dedicata"
DOI: 10.1007/s10711-020-00542-6
Abstract: We study three different topologies on the moduli space $$\mathcal {H}^\mathrm{loc}_m$$ H m loc of equivariant local isometry classes of m -dimensional locally homogeneous Riemannian spaces. As an application, we provide the first examples of… read more here.
Keywords: locally homogeneous; topology; homogeneous spaces; convergence locally ... See more keywords
Direct Search Methods on Reductive Homogeneous Spaces
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DOI: 10.1007/s10957-018-1225-5
Abstract: Direct search methods are mainly designed for use in problems with no equality constraints. However, there are many instances where the feasible set is of measure zero in the ambient space and no mesh point… read more here.
Keywords: space; direct search; homogeneous spaces; reductive homogeneous ... See more keywords
Regularity, continuity and approximation of isotropic Gaussian random fields on compact two-point homogeneous spaces
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DOI: 10.1016/j.spa.2020.02.003
Abstract: Abstract Gaussian random fields defined over compact two-point homogeneous spaces are considered and Sobolev regularity and Holder continuity are explored through spectral representations. It is shown how spectral properties of the covariance function associated to… read more here.
Keywords: random fields; point homogeneous; homogeneous spaces; compact two ... See more keywords
Pointwise equidistribution and translates of measures on homogeneous spaces
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DOI: 10.1017/etds.2018.44
Abstract: Let $(X,\mathfrak{B},\unicode[STIX]{x1D707})$ be a Borel probability space. Let $T_{n}:X\rightarrow X$ be a sequence of continuous transformations on $X$ . Let $\unicode[STIX]{x1D708}$ be a probability measure on $X$ such that $(1/N)\sum _{n=1}^{N}(T_{n})_{\ast }\unicode[STIX]{x1D708}\rightarrow \unicode[STIX]{x1D707}$ in the… read more here.
Keywords: stix x1d708; homogeneous spaces; equidistribution; unicode stix ... See more keywords
Divergent trajectories in arithmetic homogeneous spaces of rational rank two
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DOI: 10.1017/etds.2020.96
Abstract: Abstract Let G be a semisimple real algebraic group defined over ${\mathbb {Q}}$ , $\Gamma $ be an arithmetic subgroup of G, and T be a maximal ${\mathbb {R}}$ -split torus. A trajectory in $G/\Gamma… read more here.
Keywords: arithmetic homogeneous; divergent; homogeneous spaces; divergent trajectories ... See more keywords
PARABOLIC COMPACTIFICATION OF HOMOGENEOUS SPACES
Sign Up to like & getrecommendations! Published in 2019 at "Journal of the Institute of Mathematics of Jussieu"
DOI: 10.1017/s1474748019000513
Abstract: Abstract In this article, we study compactifications of homogeneous spaces coming from equivariant, open embeddings into a generalized flag manifold $G/P$ . The key to this approach is that in each case $G/P$ is the… read more here.
Keywords: parabolic compactification; geometry; compactification; compactification homogeneous ... See more keywords
Local-global principles for zero-cycles on homogeneous spaces over arithmetic function fields
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DOI: 10.1090/tran/7911
Abstract: We study the existence of zero-cycles of degree one on varieties that are defined over a function field of a curve over a complete discretely valued field. We show that local-global principles hold for such… read more here.
Keywords: principles zero; local global; homogeneous spaces; global principles ... See more keywords
Pseudo-differential operators on homogeneous spaces of compact and Hausdorff groups
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DOI: 10.1515/forum-2018-0155
Abstract: Abstract Let G be a compact Hausdorff group and let H be a closed subgroup of G. We introduce pseudo-differential operators with symbols on the homogeneous space G / H {G/H} . We present a… read more here.
Keywords: operators homogeneous; homogeneous spaces; spaces compact; pseudo differential ... See more keywords
Discrete-Time Observations of Brownian Motion on Lie Groups and Homogeneous Spaces: Sampling and Metric Estimation
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DOI: 10.3390/a15080290
Abstract: We present schemes for simulating Brownian bridges on complete and connected Lie groups and homogeneous spaces. We use this to construct an estimation scheme for recovering an unknown left- or right-invariant Riemannian metric on the… read more here.
Keywords: groups homogeneous; discrete time; homogeneous spaces; lie groups ... See more keywords
On Formality of Some Homogeneous Spaces
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DOI: 10.3390/sym11081011
Abstract: Let G / H be a homogeneous space of a compact simple classical Lie group G. Assume that the maximal torus T H of H is conjugate to a torus T β whose Lie algebra… read more here.
Keywords: formality homogeneous; formality; formality property; homogeneous spaces ... See more keywords
Abstract Plancherel (trace) formulas over homogeneous spaces of compact groups
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DOI: 10.4153/cmb-2016-037-6
Abstract: Plancherel (Trace) Formulas over Homogeneous Spaces of Compact Groups Arash Ghaani Farashahi Abstract. _is paper introduces a uniûed operator theory approach to the abstract Plancherel (trace) formulas over homogeneous spaces of compact groups. Let G… read more here.
Keywords: trace; homogeneous spaces; plancherel trace; spaces compact ... See more keywords