Symmetries of Alexandrov and RCD spaces

The following is a list (in progress) of articles about transformation groups in Alexandrov and RCD geometry​
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  • Berestovskii, Valerii. Homogeneous manifolds with an intrinsic metric II, Siberian Math. J. 30, no. 2, (1989), 180–191.
  • ​Corro, Diego; Núñez-Zimbrón, Jesús; Zarei, Masoumeh. Torus actions on Alexandrov 4-spaces. J. Geom. Anal. 32 (2022), no. 8, Paper No. 214, 35 pp.
  • Galaz-Garcia, Fernando. Simply connected Alexandrov 4-manifolds with positive or nonnegative curvature and torus actions. arXiv:1208.3041[math.DG]
  • ​Galaz-Garcia, Fernando; Guijarro, Luis. Isometry groups of Alexandrov spaces. Bull. Lond. Math. Soc. 45 (2013), no. 3, 567-579.
  • ​Galaz-García, Fernando; Kell, Martin; Mondino, Andrea; Sosa, Gerardo. On quotients of spaces with Ricci curvature bounded below. J. Funct. Anal. 275 (2018), no. 6, 1368-1446.
  • Galaz-García, Fernando; Núñez-Zimbrón, Jesús. Three-dimensional Alexandrov spaces with local isometric circle actions. Kyoto J. Math. 60 (2020), no. 3, 801-823.
  • Galaz-Garcia, Fernando; Searle, Catherine. Cohomogeneity one Alexandrov spaces. Transform. Groups 16 (2011), no. 1, 91-107.
  • Galaz-García, Fernando; Zarei, Masoumeh. Cohomogeneity one Alexandrov spaces in low dimensions. Ann. Global Anal. Geom. 58 (2020), no. 2, 109-146.
  • Guijarro, Luis; Santos-Rodríguez, Jaime. On the isometry group of RCD*(K,N)-spaces. Manuscripta Math. 158 (2019), no. 3-4, 441-461.
  • Harvey, John; Searle, Catherine. Orientation and symmetries of Alexandrov spaces with applications in positive curvature. J. Geom. Anal. 27 (2017), no. 2, 1636-1666.
  • Harvey, John; Searle, Catherine. Positively curved Riemannian orbifolds and Alexandrov spaces with circle symmetry in dimension 4. Doc. Math. 26 (2021), 1889-1927.
  • ​Núñez-Zimbrón, Jesús. Closed three-dimensional Alexandrov spaces with isometric circle actions. Tohoku Math. J. (2) 70 (2018), no. 2, 267-284.
  • Santos-Rodríguez, Jaime. On isometries of compact Lp-Wasserstein spaces. Adv. Math. 409 (2022), part A, Paper No. 108632, 21 pp.
  • Sosa, Gerardo. The isometry group of an RCD space is Lie. Potential Anal. 49 (2018), no. 2, 267-286.
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