On the Riemann extension of the G\"odel space-time metric
Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2005), pp. 43-62

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Some properties of the Gödel space-metric and its Riemann extension are studied. The spectrum of de Rham operator acting on 1-forms is studied. The examples of translation surfaces of the Gödel space-metric are constructed.
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     title = {On the {Riemann} extension of the {G\"odel} space-time metric},
     journal = {Buletinul Academiei de \c{S}tiin\c{t}e a Republicii Moldova. Matematica},
     pages = {43--62},
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     number = {3},
     year = {2005},
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Valery Driuma. On the Riemann extension of the G\"odel space-time metric. Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, no. 3 (2005), pp. 43-62. http://geodesic.mathdoc.fr/item/BASM_2005_3_a4/