Isometry groups and mapping class groups of spherical 3-orbifolds
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DOI: 10.1007/s00209-018-2166-2
Abstract: We study the isometry groups of compact spherical orientable 3-orbifolds $$S^3/G$$S3/G, where G is a finite subgroup of $$\mathrm {SO}(4)$$SO(4), by determining their isomorphism type. Moreover, we prove that the inclusion of $$\text{ Isom }(S^3/G)$$Isom(S3/G)… read more here.
Keywords: spherical orbifolds; isometry groups; class groups; mapping class ... See more keywords
Heat Operators and Isometry Groups of Cuntz–Krieger Algebras
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DOI: 10.1093/imrn/rnaf054
Abstract: This paper introduces heat semigroups of topological Markov chains and Cuntz–Krieger algebras by means of spectral noncommutative geometry. Using recent advances on the logarithmic Dirichlet Laplacian on Ahlfors regular metric-measure spaces, we construct spectral triples… read more here.
Keywords: isometry groups; heat operators; operators isometry; cuntz krieger ... See more keywords
On isometry groups of gradient Ricci solitons
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DOI: 10.1515/forum-2024-0325
Abstract: Abstract We give a result estimating the dimension of the Lie algebra of Killing vector fields on an irreducible non-trivial gradient Ricci soliton. Then we study the structure of this manifold when the maximal dimension… read more here.
Keywords: groups gradient; isometry groups; algebra; ricci solitons ... See more keywords
The isometry groups of compact manifolds with almost negative Ricci curvature
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DOI: 10.2748/tmj/1537495353
Abstract: We estimate the order of the isometry groups of compact manifolds with negative Ricci curvature in terms of geometric quantities: the sectional curvature, the Ricci curvature, the diameter, and the injectivity radius. read more here.
Keywords: compact manifolds; isometry groups; ricci curvature; groups compact ... See more keywords