Geodesic
Rigidity problems in toric topology: A~survey
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Tome 275 (2011), pp. 188-201

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Several rigidity problems in toric topology are addressed in the survey paper by the second and third authors, “Classification Problems of Toric Manifolds via Topology” (in Toric Topology, Am. Math. Soc., Providence, RI, 2008, pp. 273–286). In the present paper, we survey the results on those problems including recent developments. 
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     author = {Suyoung Choi and Mikiya Masuda and Dong Youp Suh},
     title = {Rigidity problems in toric topology: {A~survey}},
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     url = {http://geodesic.mathdoc.fr/item/TM_2011_275_a11/}
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Suyoung Choi; Mikiya Masuda; Dong Youp Suh. Rigidity problems in toric topology: A~survey. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Classical and modern mathematics in the wake of Boris Nikolaevich Delone, Tome 275 (2011), pp. 188-201. http://geodesic.mathdoc.fr/item/TM_2011_275_a11/