Cite

D.V. Alekseevskii (1972), Groups of conformal transformations of Riemannian spaces, Math. USSR-Sb., 18(2), 285–301.AlekseevskiiD.V.1972Groups of conformal transformations of Riemannian spacesMath. USSR-Sb.18228530110.1070/SM1972v018n02ABEH001770Search in Google Scholar

D.V. Alekseevskii (1973), Sn and En are the only Riemannian spaces that admit an essential conformal transformation, Uspekhi Mat. Nauk, 28(5), 225–226.AlekseevskiiD.V.1973Sn and En are the only Riemannian spaces that admit an essential conformal transformationUspekhi Mat. Nauk285225226Search in Google Scholar

I. Androulidakis and G. Skandalis (2009), The holonomy groupoid of a singular foliation, J. Reine Angew. Math., 626, 1–37.AndroulidakisI.SkandalisG.2009The holonomy groupoid of a singular foliationJ. Reine Angew. Math.62613710.1515/CRELLE.2009.001Search in Google Scholar

S.Kh. Aranson, V.Z. Grines (1978), On the representation of minimal sets of currents on two-dimensional manifolds by geodesics, Math. USSR-Izv., 12(1), 103–124.AransonS.Kh.GrinesV.Z.1978On the representation of minimal sets of currents on two-dimensional manifolds by geodesicsMath. USSR-Izv.12110312410.1070/IM1978v012n01ABEH001842Search in Google Scholar

S.Kh. Aranson, V.Z. Grines (1986), Topological classification of flows on closed two-dimensional manifolds, Russian Math. Surveys, 41(1), 183–208.AransonS.Kh.GrinesV.Z.1986Topological classification of flows on closed two-dimensional manifoldsRussian Math. Surveys41118320810.1070/RM1986v041n01ABEH003209Search in Google Scholar

P. Baird and M. Eastwood (2013), CR geometry and conformal foliations, Ann. Global Anal. Geom., 44(1), 73–90.BairdP.EastwoodM.2013CR geometry and conformal foliationsAnn. Global Anal. Geom.441739010.1007/s10455-012-9356-7Search in Google Scholar

J.-C. Beniere, G. Meigniez (1999), Flows without minimal set, Erg. Th. and Dyn. Sys., 19(1), 1–30.BeniereJ.-C.MeigniezG.1999Flows without minimal setErg. Th. and Dyn. Sys.19113010.1017/S0143385799126567Search in Google Scholar

R.A. Blumenthal, J.J. Hebda (1984), Ehresmann connections for foliations, Indiana Univ. Math. J., 33(4), 597–611.BlumenthalR.A.HebdaJ.J.1984Ehresmann connections for foliationsIndiana Univ. Math. J.33459761110.1512/iumj.1984.33.33032Search in Google Scholar

M. Bourdon (1997), Sur la dimension de Hausdorff de l’ensemble limite d’une famille de sous-groupes convexes co-compacts, C. R. Acad. Sci. Paris Ser. I Math., 325(10), 1097–1100.BourdonM.1997Sur la dimension de Hausdorff de l’ensemble limite d’une famille de sous-groupes convexes co-compactsC. R. Acad. Sci. Paris Ser. I Math.325101097110010.1016/S0764-4442(97)88712-5Search in Google Scholar

A. Cap, J. Slovak (2009), Parabolic Geometries I: Background and General Theory, AMS Publishing House, Math. Surveys Monogr., 154, 1–628.CapA.SlovakJ.2009Parabolic Geometries I: Background and General Theory, AMS Publishing HouseMath. Surveys Monogr.1541628Search in Google Scholar

B. Deroin, V. Kleptsy(2007), Random Conformal Dynamical Systems. Geometric and functional analysis, 17(4), 1043–1105.DeroinB.KleptsyV.2007Random Conformal Dynamical SystemsGeometric and functional analysis1741043110510.1007/s00039-007-0606-ySearch in Google Scholar

J. Ferrand (1977), Sur un lemme d’Alekseevskii relatif aux transformations conformes, C. R. Acad. Sc. Paris, 284, 121–123.FerrandJ.1977Sur un lemme d’Alekseevskii relatif aux transformations conformesC. R. Acad. Sc. Paris284121123Search in Google Scholar

J. Ferrand (1996), The action of conformal transformations on a Riemannian manifold, Math. Ann., 304(2), 277–291.FerrandJ.1996The action of conformal transformations on a Riemannian manifoldMath. Ann.304227729110.1007/BF01446294Search in Google Scholar

C. Frances, C. Tarquini (2007), Autour du theoreme de Ferrand-Obata, Ann. Glob. Anal. Geom., 21(1), 51–62.FrancesC.TarquiniC.2007Autour du theoreme de Ferrand-ObataAnn. Glob. Anal. Geom.211516210.1023/A:1014287714725Search in Google Scholar

A. Haefliger (1985), Pseudogroups of local isometries, Research Notes in Math., 131, 174–197.HaefligerA.1985Pseudogroups of local isometriesResearch Notes in Math.131174197Search in Google Scholar

T. Inaba (1999), An example of a flow on a non-compact surface without minimal set, Erg. Th. and Dyn. Sys., 19(1), 31–33.InabaT.1999An example of a flow on a non-compact surface without minimal setErg. Th. and Dyn. Sys.191313310.1017/S0143385799139166Search in Google Scholar

M. Kapovich (2007), Kleinian groups in higher dimensions, Geometry and dynamics of groups and spaces, Progr. Math., 265, Birkhauser, Basel 2007, 487–564.KapovichM.2007Kleinian groups in higher dimensions, Geometry and dynamics of groups and spacesProgr. Math.265BirkhauserBasel200748756410.1007/978-3-7643-8608-5_13Search in Google Scholar

M.S. Kulikov (2004), Schottky-type groups and minimal sets of horocycle and geodesic flows, Sb. Math., 195(1), 35–64.KulikovM.S.2004Schottky-type groups and minimal sets of horocycle and geodesic flowsSb. Math.1951356410.1070/SM2004v195n01ABEH000792Search in Google Scholar

G. Levitt (1983), Foliations and laminations on hyperbolic surfaces, Topology, 22(2), 119–135.LevittG.1983Foliations and laminations on hyperbolic surfacesTopology22211913510.1016/0040-9383(83)90023-XSearch in Google Scholar

P. Molino (1988), Riemannian Foliations, Progr. Math., 263, Birkhauser, Boston, MA.MolinoP.1988Riemannian FoliationsProgr. Math.263BirkhauserBoston, MA10.1007/978-1-4684-8670-4Search in Google Scholar

S. Morita (1979), On characteristic classes of conformal and projective foliations, J. Math. Soc. Japan, 31(4), 693–718.MoritaS.1979On characteristic classes of conformal and projective foliationsJ. Math. Soc. Japan31469371810.2969/jmsj/03140693Search in Google Scholar

M. Obata (1971), The conjectures on conformal transformations of Riemannian manifolds, J. Differential Geom., 6(2), 247–258.ObataM.1971The conjectures on conformal transformations of Riemannian manifoldsJ. Differential Geom.6224725810.4310/jdg/1214430407Search in Google Scholar

E. Salem (1988), Riemannian foliations and pseudogroups of isometries, Application D in: P. Molino, Riemannian foliations, Progr. Math., 263, Birkhauser, Boston, MA, 1988.SalemE.1988Riemannian foliations and pseudogroups of isometries, Application Din:P. Molino, Riemannian foliations, Progr. Math.263BirkhauserBoston, MA1988Search in Google Scholar

R.W. Sharpe (1997), Differential Geometry: Cartan's Generalization of Klein's Erlangen Progpam, Grad. Texts in Math. 166, New York: Springer-Verlag.SharpeR.W.1997Differential Geometry: Cartan's Generalization of Klein's Erlangen ProgpamGrad. Texts in Math.166New YorkSpringer-VerlagSearch in Google Scholar

I. Tamura (1992), Topology of foliations: An Introduction, Transl. of Math. Monographs, 97, Publisher: AMS.TamuraI.1992Topology of foliations: An IntroductionTransl. of Math. Monographs97Publisher: AMS10.1090/mmono/097Search in Google Scholar

C. Tarquini (2004), Feuilletages conformes, Ann. Inst. Fourier, 52(2), 453–480.TarquiniC.2004Feuilletages conformesAnn. Inst. Fourier52245348010.5802/aif.2025Search in Google Scholar

N.I. Zhukova (2007), Minimal sets of Cartan foliations, Proc. Steklov Inst. Math., 256(1), 105–135.ZhukovaN.I.2007Minimal sets of Cartan foliationsProc. Steklov Inst. Math.256110513510.1134/S0081543807010075Search in Google Scholar

N.I. Zhukova (2011), Attractors and an analog of the Lichnerowicz conjecture for conformal foliations, Siberian Math. J., 52(3), 436–450.ZhukovaN.I.2011Attractors and an analog of the Lichnerowicz conjecture for conformal foliationsSiberian Math. J.52343645010.1134/S0037446611030062Search in Google Scholar

N.I. Zhukova (2012), Global attractors of complete conformal foliations. Sb. Math., 203(3), 380–405.ZhukovaN.I.2012Global attractors of complete conformal foliationsSb. Math.203338040510.1070/SM2012v203n03ABEH004227Search in Google Scholar

N.I. Zhukova (2015), Transverse Equivalence of Complete Conformal Foliations J. Math. Sci., 208(1), 115–130.ZhukovaN.I.2015Transverse Equivalence of Complete Conformal FoliationsJ. Math. Sci.208111513010.1007/s10958-015-2429-ySearch in Google Scholar

N.I. Zhukova (2018), The existence of attractors of Weyl foliations modelled on pseudo-Riemannian manifolds, JPCS, 990(1), 1–15.ZhukovaN.I.2018The existence of attractors of Weyl foliations modelled on pseudo-Riemannian manifoldsJPCS990111510.1088/1742-6596/990/1/012014Search in Google Scholar

N.I. Zhukova (2018), The structure of Riemannian foliations with Ehresmann connection, Zh. Sredn. Mat. Obshch., 20(4), 395–407 (in Russian).ZhukovaN.I.2018The structure of Riemannian foliations with Ehresmann connectionZh. Sredn. Mat. Obshch.204395407(in Russian).10.15507/2079-6900.20.201804.395-407Search in Google Scholar

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