My Works (Mar. 13, 2012)

Reserch Papers
  1. On transversely flat conformal foliations with good measures, Trans. Amer. Soc. 348 (1996), 1939-1958.
  2. Classification of Riemannian flows with transverse similarity structures, Ann. Fac. Sci. Toulouse Vol.VI, no.2 (1997), 203-227.
  3. Invariance of the Godbillon-Vey class by C1-diffeomorphisms for higher codimensional foliations, Jour. Math. Soc. Japan Vol.51, No.3 (1999), 655-660.
  4. On transversely flat conformal foliations with good measures II, Hiroshima Math. Jour. Vol.28, No.3 (1998), 523-525.
  5. On the Real Secondary classes of transversely holomorphic foliations, Ann. Inst. Fourier, Vol.50, No.3 (2000), 995-1017.
  6. On the real secondary classes of transversely holomorphic foliations II, Tôhoku Math. J. 55 (2003), 361-374.
  7. A Remark on the Bott class, Ann. Fac. Sci. Toulouse Vol. X, no.1 (2001), 5-21.
  8. Localization and Residue of the Bott class, Topology, Vol.43 (2004), 289-317.
  9. Complexification of foliations and Complex secondary classes, Bull. Braz. Math. Soc, NS Vol.34, No.2 (2003), 251-262.
  10. Residues of the Bott class and an application to the Futaki invariant, Asian J. Math., Vol.7, No.2 (2003), 239-268.
  11. On Quasiconformal Deformations of Transversely Holomorphic Foliations, Jour. Math. Soc. Japan, Vol. 57, No.3 (2005), 725-734.
  12. Infinitesimal derivative of the Bott class and the Schwarzian derivatives, Tohoku Math. J., Vol.61 (2009), 393-416.
  13. A Fatou-Julia decomposition of transversally holomorphic foliations, Ann. Inst. Fourier (Grenoble), Vol. 60 (2010), 1057-1104.
  14. On Fatou-Julia decompositions, preprint, 2010, submitted. Revised on Oct. 26. PDF File (219kbytes).
  15. On independent rigid classes in H*(WUq), preprint (Dec. 2011), to appear in Illinois Journal of Mathematics PDF File (119kbytes).
Monograph
  1. Godbillon-Vey class of transversely holomorphic foliations, MSJ memoirs vol. 24, June 2010.
Survey articles
  1. Some results on secondary characteristic classes of transversely holomorphic foliations, in `Foliations: GEOMETRY AND DYNAMICS', pp. 3-16, World Scientific Publishing, Singapore, 2002.
  2. On existence and quasiconformal deformations of transversely holomorphic foliations, Sūrikaisekikenkyūsho Kōkyūroku, Complex Dynamics, No. 1447 (2005), 15-19. This article is a survey for the paper 11 above, and is a note for the talk 6 below. PS File(125kbytes)
  3. On infinitesimal derivatives of the Bott class, in `Foliations 2005', pp. 37-46, World Scientific Publishing, Singapore, 2006. This is a survey for the paper 12 above, and is a note for the talks 7 and 8 below.
  4. On the Fatou-Julia decomposition of transversally holomorphic foliations of complex codimension one, Advanced Studies in Pure Mathematics, Vol.56 (2009), pp. 39-47, Mathematical Society of Japan. This is an announcement for the paper 13 above, and is based on the talks 11 and 12 below.
  5. On the Fatou-Julia decomposition of transversally holomorphic foliations of complex codimension one, in `Differential Geometry', Proceedings of the VIII International Colloquium Santiago de Compostela, Spain, 7-11 July 2008, World Scientific (2009), pp. 65-74. This is a brief survey for the paper 13 above, and is based on the talk 14 below.
  6. On the Fatou-Julia decomposition of complex codimension-one transversely holomorphic foliations (in Japanese), RIMS Kokyuroku No. 1661, Differential geometry of foliations and related topics on the Bergman kernel, July 2009, pp. 1-20. This is an article based on the talk in a conference held at RIMS, Kyoto in Dec. 2008. PDF File(208kbytes).
  7. On Fatou-Julia decompositions of pseudosemigroups, RIMS Kokyuroku No. 1699, Integrated Research on Complex Dynamics and its Related Fields, July 2010, 137-143. This is a survey for the paper 14 above, and based on a talk given at `2009 Complex Dynamics conference - Integrated Research on Complex Dynamics and its Related Fields -'. PDF File(85kbytes).
  8. On Fatou-Julia decompositions of pseudosemigroups II, RIMS Kokyuroku No. 1762, Research on Complex Dynamics and Related Fields, Nov. 2011, 125-133. This is a survey for the paper 14 above, and based on a talk given at `2010 Complex Dynamics conference - Integrated Research on Complex Dynamics and its Related Fields -'. PDF File(101kbytes).
Thesis (appeared as research papers 5 and 6)
Talks (abroad, or in international conferences)
  1. The secondary characteristic classes of transversaly holomorphic foliations, at Complex Analysis in Dynamical Systems, IMPA-Rio de Janeiro, September 3, 1998.
  2. The Godbillon-Vey class of transversaly holomorphic foliations, at Foliations: Geometry and Dynamics, Banach Center (Warsaw), June 8, 2000.
  3. Secondary characteristic classes of Transversely holomorphic foliations of complex codimension one, at Aarhus Universitet, March 13, 2000.
  4. Residues of the Bott class, at New Directions in Dynamical Systems, Ryukoku University and Kyoto University, August 7, 2002.
  5. Residues of the Bott class, at Geometry and Foliations 2003 at Ryukoku University, 2003/9/11.
  6. Existence of transversely holomorphic structure of complex codimension one, at Topological and geometrical methods of complex differential equations, RIMS (Research Institute for Mathematical Sciences), Kyoto University, 2004/1/21.
  7. Infinitesimal derivative of the Bott class and the Schwarzian derivative, Foliations 2005, Wydział Matematyki Uniwersytetu Łódzkiego (Faculty of Mathematics of University of Lodz), Łódź (Lodz in Poland), 2005/6/14.
  8. Des dérivées infinitésimales de la classe de Bott et les dérivées schwarziennes, Le Séminaire de Mathématiques Pures, Unité de mathématiques pures et appliquées, École normale supérieur de Lyon, 2005/6/29.
  9. An introduction to secondary classes of foliations, Differential Geometry and Foliation Seminar, Centro de Investigacion en Matematicas (CIMAT), Guanajuato (Mexico), 2006/2/13.
  10. An introduction to secondary classes of foliations, Seminario de Sistemas Dinamicos y Ecuaciones Diferenciales, Instituto de Matemáticas, Unidad Morelia, Morelia (Mexico), 2006/2/20.
  11. On the Julia-Fatou decomposition of complex codimension-one folitaions, Niigata Workshop on Complex Geometry and Singularities, CrossPal Niigata, Niigata, 2007/8/24.
  12. Sur la décomposition Fatou-Julia de feuilletages transversalement holomorphes de complex codimension un, Analyse, géométrie et dynamique complexes, Laboratoire Emile Picard, Université Paul Sabatier, 2007/11/22.
  13. A Fatou-Julia decomposition of complex codimension-one foliations, Global and Local Aspects of Holomorphic Foliations. In Honor of the 60th Birthday of Alcides Lins Neto, IMPA, Angra dos Reis, 2008/02/15.
  14. On the Fatou-Julia decomposition of transversally holomorphic foliations of complex codimension one, VIII International Colloquium on Differential Geometry, Santiago de Compostela (7-11 July, 2008), 2008/07/11.
  15. Sur la décomposition de Fatou-Julia d'un feuilletage transversalement holomorphes de codimension complex 1, Séminaire Géométrie - Topologie Dynamique, Département de Mathématiques de la Faculté des Sciences d'Orsay, 2009/03/18.
  16. Une construction de mesures δ-conformes pour des feuilletages transversalement holomorphes de codimension complexe 1, Dynamique et Géométrie complexes, Département de Mathématiques de la Faculté des Sciences d'Orsay, 2009/03/20.
  17. Infinitesimal deformations of foliations and Cartan connections, Geometry and Dynamics, Todai Forum 2011, UMPA ENS-Lyon, 2011/10/17.
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