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Published in 2022 at "Geometriae Dedicata"
DOI: 10.1007/s10711-021-00668-1
Abstract: Geodesic orbit spaces are those Riemannian homogeneous spaces (G/H,g) whose geodesics are orbits of one-parameter subgroups of G. We classify the simply connected geodesic orbit spaces where G is a compact Lie group of rank…
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Keywords:
spaces compact;
compact lie;
orbit spaces;
rank two ... See more keywords
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Published in 2018 at "Forum Mathematicum"
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…
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Keywords:
operators homogeneous;
homogeneous spaces;
spaces compact;
pseudo differential ... See more keywords
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Published in 2017 at "Canadian Mathematical Bulletin"
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 uniĆ»ed operator theory approach to the abstract Plancherel (trace) formulas over homogeneous spaces of compact groups. Let G…
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Keywords:
trace;
homogeneous spaces;
plancherel trace;
spaces compact ... See more keywords