A V -COHOMOLOGY WITH RESPECT TO COMPLEX LIOUVILLE DISTRIBUTION

Adelina Manea; Cristian Ida

Research Article

A V -COHOMOLOGY WITH RESPECT TO COMPLEX LIOUVILLE DISTRIBUTION

Year 2012, Volume: 5 Issue: 1, 151 - 162, 30.04.2012

Adelina Manea Cristian Ida

Abstract

Keywords

Complex Finsler manifold, Liouville distribution, v–cohomology

References

[1] Abate, M., Patrizio, G., Finsler metrics-A global approach, Lectures Notes in Math., 1591, Springer-Verlag, 1994.
[2] Aikou, T., The Chern-Finsler connection and Finsler-K¨ahler manifolds, Adv. Stud. in Pure Math. 48, (2007), 343-373.
[3] Bejancu, A., Farran, H. R., On The Vertical Bundle of a pseudo-Finsler Manifold, Int. J. Math. and Math. Sci. 22 no. 3, (1997), 637-642.
[4] Bejancu, A., Farran, H. R., Finsler Geometry and Natural Foliations on the Tangent Bundle, Rep. on Mathematical Physics 58 no. 1 (2006), 131-146.
[5] Kobayashi, S., Negative Vector Bundles and Complex Finsler Sructures, Nagoya Math. J. 57 (1975), 153-166.
[6] Kobayashi, S., Diﬀerential Geometry of Complex Vector Bundles, Iwanami Princeton Univ. Press, 1987.
[7] Kobayashi, S., Complex Finsler Vector Bundles, Contemporary Math., 196 (1996), 145-152.
[8] Manea, A., Some new types of vertical 2–jets on the tangent bundle of a Finsler manifold, U.P.B. Sci. Bull., Series A, Vol. 72, Iss. 1 (2010), 179-196.
[9] Manea, A., A de Rham theorem for a Liouville foliation on T M 0 over a Finsler manifold M , Diﬀerential Geometry - Dynamical Systems, 13, (2011), 169-178.
[10] Miron, R., Anastasiei, M., The Geometry of Lagrange Spaces. Theory and Applications, Kluwer Acad. Publ. 59, 1994.
[11] Munteanu, G., Complex spaces in Finsler, Lagrange and Hamilton Geometries, Kluwer Acad. Publ., 141 FTPH, 2004.
[12] Piti¸s, G., Munteanu, G., V-cohomology of complex Finsler manifolds, Studia Univ., Babe¸s- Bolyai, XLIII (3) (1998), 75-81.
[13] Vaisman, I., Vari´et´es riemanniene feuillet´ees, Czechoslovak Math. J., 21 (1971), 46-75.
[14] Vaisman, I., Sur la cohomologie des variet´es analytiques complexes feuillet´ees, C. R. Acad. Sc. Paris, t. 273 (1971), 1067-1070.
[15] Vaisman, I., Cohomology and diﬀerential forms, New York, M. Dekker Publ. House, 1973.

Year 2012, Volume: 5 Issue: 1, 151 - 162, 30.04.2012

Adelina Manea Cristian Ida

Abstract

References

[1] Abate, M., Patrizio, G., Finsler metrics-A global approach, Lectures Notes in Math., 1591, Springer-Verlag, 1994.
[2] Aikou, T., The Chern-Finsler connection and Finsler-K¨ahler manifolds, Adv. Stud. in Pure Math. 48, (2007), 343-373.
[3] Bejancu, A., Farran, H. R., On The Vertical Bundle of a pseudo-Finsler Manifold, Int. J. Math. and Math. Sci. 22 no. 3, (1997), 637-642.
[4] Bejancu, A., Farran, H. R., Finsler Geometry and Natural Foliations on the Tangent Bundle, Rep. on Mathematical Physics 58 no. 1 (2006), 131-146.
[5] Kobayashi, S., Negative Vector Bundles and Complex Finsler Sructures, Nagoya Math. J. 57 (1975), 153-166.
[6] Kobayashi, S., Diﬀerential Geometry of Complex Vector Bundles, Iwanami Princeton Univ. Press, 1987.
[7] Kobayashi, S., Complex Finsler Vector Bundles, Contemporary Math., 196 (1996), 145-152.
[8] Manea, A., Some new types of vertical 2–jets on the tangent bundle of a Finsler manifold, U.P.B. Sci. Bull., Series A, Vol. 72, Iss. 1 (2010), 179-196.
[9] Manea, A., A de Rham theorem for a Liouville foliation on T M 0 over a Finsler manifold M , Diﬀerential Geometry - Dynamical Systems, 13, (2011), 169-178.
[10] Miron, R., Anastasiei, M., The Geometry of Lagrange Spaces. Theory and Applications, Kluwer Acad. Publ. 59, 1994.
[11] Munteanu, G., Complex spaces in Finsler, Lagrange and Hamilton Geometries, Kluwer Acad. Publ., 141 FTPH, 2004.
[12] Piti¸s, G., Munteanu, G., V-cohomology of complex Finsler manifolds, Studia Univ., Babe¸s- Bolyai, XLIII (3) (1998), 75-81.
[13] Vaisman, I., Vari´et´es riemanniene feuillet´ees, Czechoslovak Math. J., 21 (1971), 46-75.
[14] Vaisman, I., Sur la cohomologie des variet´es analytiques complexes feuillet´ees, C. R. Acad. Sc. Paris, t. 273 (1971), 1067-1070.
[15] Vaisman, I., Cohomology and diﬀerential forms, New York, M. Dekker Publ. House, 1973.

There are 15 citations in total.

Details

Primary Language	English
Journal Section	Research Article
Authors	Adelina Manea This is me Cristian Ida This is me
Publication Date	April 30, 2012
Published in Issue	Year 2012 Volume: 5 Issue: 1

Cite

APA	Manea, A., & Ida, C. (2012). A V -COHOMOLOGY WITH RESPECT TO COMPLEX LIOUVILLE DISTRIBUTION. International Electronic Journal of Geometry, 5(1), 151-162.
AMA	Manea A, Ida C. A V -COHOMOLOGY WITH RESPECT TO COMPLEX LIOUVILLE DISTRIBUTION. Int. Electron. J. Geom. April 2012;5(1):151-162.
Chicago	Manea, Adelina, and Cristian Ida. “A V -COHOMOLOGY WITH RESPECT TO COMPLEX LIOUVILLE DISTRIBUTION”. International Electronic Journal of Geometry 5, no. 1 (April 2012): 151-62.
EndNote	Manea A, Ida C (April 1, 2012) A V -COHOMOLOGY WITH RESPECT TO COMPLEX LIOUVILLE DISTRIBUTION. International Electronic Journal of Geometry 5 1 151–162.
IEEE	A. Manea and C. Ida, “A V -COHOMOLOGY WITH RESPECT TO COMPLEX LIOUVILLE DISTRIBUTION”, Int. Electron. J. Geom., vol. 5, no. 1, pp. 151–162, 2012.
ISNAD	Manea, Adelina - Ida, Cristian. “A V -COHOMOLOGY WITH RESPECT TO COMPLEX LIOUVILLE DISTRIBUTION”. International Electronic Journal of Geometry 5/1 (April 2012), 151-162.
JAMA	Manea A, Ida C. A V -COHOMOLOGY WITH RESPECT TO COMPLEX LIOUVILLE DISTRIBUTION. Int. Electron. J. Geom. 2012;5:151–162.
MLA	Manea, Adelina and Cristian Ida. “A V -COHOMOLOGY WITH RESPECT TO COMPLEX LIOUVILLE DISTRIBUTION”. International Electronic Journal of Geometry, vol. 5, no. 1, 2012, pp. 151-62.
Vancouver	Manea A, Ida C. A V -COHOMOLOGY WITH RESPECT TO COMPLEX LIOUVILLE DISTRIBUTION. Int. Electron. J. Geom. 2012;5(1):151-62.