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1

LeFloch, Philippe G. The hyperboloidal foliation method. World Scientific, 2015.

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2

Cascini, Paolo, James McKernan, and Jorge Vitório Pereira, eds. Foliation Theory in Algebraic Geometry. Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-24460-0.

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3

Sato, Yuki. Space-Time Foliation in Quantum Gravity. Springer Japan, 2014. http://dx.doi.org/10.1007/978-4-431-54947-5.

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4

1933-, Conlon Lawrence, ed. Foliations. American Mathematical Society, 2000.

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5

Molino, Pierre. Riemannian Foliations. Birkhäuser Boston, 1988. http://dx.doi.org/10.1007/978-1-4684-8670-4.

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6

Candel, Alberto. Foliations I. American Mathematical Society, 2000.

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7

Ejeckam, R. B. A study of small-scale foliation in lengths of core enclosing fault zones in borehole WD-3, permit area D, Lac du Bonnet Batholith. AECL, Whiteshell Nuclear Research Establishment, 1992.

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8

Tondeur, Philippe. Geometry of Foliations. Birkhäuser Basel, 1997.

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9

Tondeur, Philippe. Geometry of Foliations. Birkhäuser Basel, 1997. http://dx.doi.org/10.1007/978-3-0348-8914-8.

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10

Nikolaev, Igor. Foliations on Surfaces. Springer Berlin Heidelberg, 2001. http://dx.doi.org/10.1007/978-3-662-04524-4.

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11

Nikolaev, Igor. Foliations on Surfaces. Springer Berlin Heidelberg, 2001.

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12

Rovenski, Vladimir, and Paweł Walczak. Extrinsic Geometry of Foliations. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-70067-6.

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13

Scárdua, Bruno. Holomorphic Foliations with Singularities. Springer International Publishing, 2021. http://dx.doi.org/10.1007/978-3-030-76705-1.

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14

Brunella, Marco. Birational Geometry of Foliations. Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-14310-1.

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15

Saldanha, Nicolau C., Lawrence Conlon, Rémi Langevin, Takashi Tsuboi, and Paweł Walczak, eds. Foliations, Geometry, and Topology. American Mathematical Society, 2009. http://dx.doi.org/10.1090/conm/498.

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16

Camacho, César, and Alcides Lins Neto. Geometric Theory of Foliations. Birkhäuser Boston, 1985. http://dx.doi.org/10.1007/978-1-4612-5292-4.

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17

Tondeur, Philippe. Foliations on Riemannian Manifolds. Springer New York, 1988. http://dx.doi.org/10.1007/978-1-4613-8780-0.

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18

Albert, Claude, Robert Brouzet, and Jean Paul Dufour, eds. Integrable Systems and Foliations. Birkhäuser Boston, 1996. http://dx.doi.org/10.1007/978-1-4612-4134-8.

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19

Gromoll, Detlef, and Gerard Walschap. Metric Foliations and Curvature. Birkhäuser Basel, 2009. http://dx.doi.org/10.1007/978-3-7643-8715-0.

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20

Walczak, Szymon M. Metric Diffusion Along Foliations. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-57517-9.

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21

1954-, Walschap Gerard, and SpringerLink (Online service), eds. Metric foliations and curvature. Birkhäuser, 2009.

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22

Tondeur, Philippe. Foliations on Riemannian manifolds. Springer-Verlag, 1988.

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23

Hector, Gilbert. Introduction to the Geometry of Foliations, Part B: Foliations of Codimension One. Vieweg+Teubner Verlag, 1987.

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24

Asaoka, Masayuki, Aziz El Kacimi Alaoui, Steven Hurder, and Ken Richardson. Foliations: Dynamics, Geometry and Topology. Edited by Jesús Álvarez López and Marcel Nicolau. Springer Basel, 2014. http://dx.doi.org/10.1007/978-3-0348-0871-2.

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25

Barletta, E. Foliations in Cauchy-Riemann geometry. American Mathematical Society, 2007.

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26

Tamura, Itiro. Topology of foliations: An introduction. American Mathematical Society, 1992.

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27

Tamura, Ichirō. Topology of foliations: An introduction. American Mathematical Society, 1992.

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28

Grzegorz, Walczak Paweł, ed. Proceedings of the Euroworkshop on Foliations Geometry and Dynamics, 29 May-9 June 2000, Warsaw, Poland. World Scientific, 2002.

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29

Poland) Foliations (Conference) (2012 Łódź. Foliations 2012: Proceedings of the International Conference, Łódź, Poland, 25-30 June 2012. Edited by Walczak, Paweł, 1975- editor of compilation, Alvarez López, Jesús A., editor of compilation, Hurder, Steve, editor of compilation, Langevin, Remi, editor of compilation, and Tsuboi, Takashi, editor of compilation. World Scientific, 2013.

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30

Schweitzer, Paul A., Steven Hurder, Nathan Moreira dos Santos, and José Luis Arraut, eds. Differential Topology, Foliations, and Group Actions. American Mathematical Society, 1994. http://dx.doi.org/10.1090/conm/161.

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31

Walczak, Paweł. Dynamics of Foliations, Groups and Pseudogroups. Birkhäuser Basel, 2004. http://dx.doi.org/10.1007/978-3-0348-7887-6.

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32

Rovenskii, Vladimir Y. Foliations on Riemannian Manifolds and Submanifolds. Birkhäuser Boston, 1995. http://dx.doi.org/10.1007/978-1-4612-4270-3.

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33

Walczak, Paweł. Dynamics of Foliations, Groups and Pseudogroups. Birkhäuser Basel, 2004.

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34

Workshop on Topology (1992 Pontifícia Universidade Católica, Rio de Janeiro, Brazil). Differential topology, foliations, and group actions. American Mathematical Society, 1994.

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35

Lefloch, Philippe G. Hyperboloidal Foliation Method. World Scientific Publishing Co Pte Ltd, 2014.

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36

Hyperboloidal Foliation Method. World Scientific Publishing Co Pte Ltd, 2014.

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37

McKernan, James, Jorge Vitório Pereira, and Paolo Cascini. Foliation Theory in Algebraic Geometry. Springer, 2016.

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38

McKernan, James, Jorge Vitório Pereira, and Paolo Cascini. Foliation Theory in Algebraic Geometry. Springer, 2016.

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39

McKernan, James, Jorge Vitório Pereira, and Paolo Cascini. Foliation Theory in Algebraic Geometry. Springer, 2018.

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40

Farb, Benson, and Dan Margalit. Thurston's Proof. Princeton University Press, 2017. http://dx.doi.org/10.23943/princeton/9780691147949.003.0016.

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This chapter describes Thurston's original path of discovery to the Nielsen–Thurston classification theorem. It first provides an example that illustrates much of the general theory, focusing on Thurston's iteration of homeomorphisms on simple closed curves as well as the linear algebra of train tracks. It then explains how the general theory works and presents Thurston's original proof of the Nielsen–Thurston classification. In particular, it considers the Teichmüller space and the measured foliation space. The chapter also discusses measured foliations on a pair of pants, global coordinates
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41

Sato, Yuki. Space-Time Foliation in Quantum Gravity. Springer Japan, 2016.

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42

Space-Time Foliation in Quantum Gravity. Yuki Sato, 2014.

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43

Sato, Yuki. Space-Time Foliation in Quantum Gravity. Springer London, Limited, 2014.

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44

Platania, Alessia Benedetta. Asymptotically Safe Gravity: From Spacetime Foliation to Cosmology. Springer, 2018.

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45

Platania, Alessia Benedetta. Asymptotically Safe Gravity: From Spacetime Foliation to Cosmology. Springer, 2018.

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46

Mercati, Flavio. York’s Solution to the Initial-Value Problem. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198789475.003.0008.

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In this chapter I briefly review York’s method (or the conformal method) for solving the initial value problem of (GR). This method, developed initially by Lichnerowicz and then generalized by Choquet-Bruhat and York, allows to find solutions of the constraints of (GR) (in particular the Hamiltonian, or refoliation constraint) by scanning the conformal equivalence class of spatial metrics for a solution of the Hamiltonian constraint, exploiting the fact that, in a particular foliation (CMC), the transverse nature of the momentum field is preserved under conformal transformations. This method a
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47

Callender, Craig. Quantum Becoming? Oxford University Press, 2017. http://dx.doi.org/10.1093/oso/9780198797302.003.0004.

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Two of quantum mechanics’ more famed and spooky features have been invoked in defending the idea that quantum time is congenial to manifest time. Quantum non-locality is said by some to make a preferred foliation of spacetime necessary, and the collapse of the quantum wavefunction is held to vindicate temporal becoming. Although many philosophers and physicists seek relief from relativity’s assault on time in quantum theory, assistance is not so easily found.
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48

Umar, Umar Sambo. Geology and Structural Analysis of Foliation Planes of Granite Gneiss Exposed Around Kanwara, Dass. Bauchi State. GRIN Verlag GmbH, 2014.

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49

Mann, Peter. Autonomous Geometrical Mechanics. Oxford University Press, 2018. http://dx.doi.org/10.1093/oso/9780198822370.003.0022.

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This chapter examines the structure of the phase space of an integrable system as being constructed from invariant tori using the Arnold–Liouville integrability theorem, and periodic flow and ergodic flow are investigated using action-angle theory. Time-dependent mechanics is formulated by extending the symplectic structure to a contact structure in an extended phase space before it is shown that mechanics has a natural setting on a jet bundle. The chapter then describes phase space of integrable systems and how tori behave when time-dependent dynamics occurs. Adiabatic invariance is discussed
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50

Molino. Riemannian Foliations. Birkhauser Verlag, 2012.

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