Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2011, Cilt: 4 Sayı: 2, 168 - 183, 30.10.2011

Öz

Kaynakça

  • [1] Blair, D. E., Riemannian geometry of contact and symplectic manifolds, Progr. Math., 203, Birkhäuser Boston, Boston, MA, 2002.
  • [2] Blair, D. E., Koufogiorgos, T. and Papantoniou, B. J., Contact metric manifolds satisfying a nullity condition, Israel J. Math. 91 (1995), 189–214.
  • [3] Boeckx, E., A full classification of contact (k, µ)–spaces, Illinois J. Math. 44 (2000), 212–219.
  • [4] Dacko, P., On almost cosymplectic manifolds with the structure vector field ξ belonging tothe k-nullity distribution, BJGA, 5 No.2 (2000) 47–60.
  • [5] Dacko, P. and Olszak, Z., On almost cosymplectic (k, µ, ν)-spaces, in: PDEs, Submanifolds and Affine Differential Geometry, Banach Center Publications, Vol 69, pp. 211–220, Institute of Mathematics, Polish Academy of Sciences, Warszawa, 2005.
  • [6] Dacko, P. and Olszak, Z., On almost cosymplectic (−1, µ, 0)-space, Centr. Eur. J. Math. 3 No. 2 (2005), 318–330.
  • [7] Dileo, G. and Pastore, A. M., Almost Kenmotsu manifolds and local symmetry, Bull. Belg. Math. Soc. Simon Stevin 14 (2007), 343–354.
  • [8] Dileo, G. and Pastore, A. M., Almost Kenmotsu manifolds and nullity distributions, J. Geom. 93 (2009), 46–61.
  • [9] Dileo, G. and Pastore, A. M., Almost Kenmotsu manifolds with a condition of η-parallelism, Differential Geom. Appl. 27 (2009), 671–679.
  • [10] Falcitelli, M. and Pastore, A. M., Almost Kenmotsu f -manifolds, Balkan J. Geom. Appl. 12 (2007), no. 1, 32–43.
  • [11] Gouli-Andreou, F. and Xenos, P. J., A class of contact metric 3–manifolds with ξ ∈ N (k, µ) and k, µ functions, Algebras Groups Geom. 17 (2000), 401–407.
  • [12] Gray, A., Spaces of constancy of curvature operators, Proc. Amer. Math. Soc. 17 (1966), 897–902.
  • [13] Janssens, D. and Vanhecke, L., Almost contact structures and curvatures tensors, Kodai Math. J. 4 (1981), no. 1, 1–27.
  • [14] Kenmotsu, K., A class of almost contact Riemannian manifolds, Tˆohoku Math. J. 24 (1972), 93–103.
  • [15] Kim, T. W. and Pak, H. K., Canonical foliations of certain classes of almost contact metric structures, Acta Math. Sin. (Engl. Ser.) 21 (2005), no. 4, 841–846.
  • [16] Kobayashi, S. and Nomizu, K., Foundations of Differential Geometry, Vol. I, II, Interscience Publishers, New York, 1963, 1969.
  • [17] Koufogiorgos, T. and Tsichlias, C., On the existence of a new class of contact metric mani- folds, Canad. Math. Bull. Vol. 43 (2000), no. 4, 440–447.
  • [18] Olszak, Z., Locally conformal almost cosymplectic manifolds, Colloq. Math. 57 (1989), 73–87.
  • [19] Pastore, A. M. and Saltarelli, V., Almost Kenmotsu manifolds with conformal Reeb foliation, Bull. Belg. Math. Soc. Simon Stevin 18 (2011) (to appear).
  • [20] Tanno, S., Some differential equations on Riemannian manifolds, J. Math. Soc. Japan, 30 (1978), 509–531.

GENERALIZED NULLITY CONDITIONS ON ALMOST KENMOTSU MANIFOLDS

Yıl 2011, Cilt: 4 Sayı: 2, 168 - 183, 30.10.2011

Öz


Kaynakça

  • [1] Blair, D. E., Riemannian geometry of contact and symplectic manifolds, Progr. Math., 203, Birkhäuser Boston, Boston, MA, 2002.
  • [2] Blair, D. E., Koufogiorgos, T. and Papantoniou, B. J., Contact metric manifolds satisfying a nullity condition, Israel J. Math. 91 (1995), 189–214.
  • [3] Boeckx, E., A full classification of contact (k, µ)–spaces, Illinois J. Math. 44 (2000), 212–219.
  • [4] Dacko, P., On almost cosymplectic manifolds with the structure vector field ξ belonging tothe k-nullity distribution, BJGA, 5 No.2 (2000) 47–60.
  • [5] Dacko, P. and Olszak, Z., On almost cosymplectic (k, µ, ν)-spaces, in: PDEs, Submanifolds and Affine Differential Geometry, Banach Center Publications, Vol 69, pp. 211–220, Institute of Mathematics, Polish Academy of Sciences, Warszawa, 2005.
  • [6] Dacko, P. and Olszak, Z., On almost cosymplectic (−1, µ, 0)-space, Centr. Eur. J. Math. 3 No. 2 (2005), 318–330.
  • [7] Dileo, G. and Pastore, A. M., Almost Kenmotsu manifolds and local symmetry, Bull. Belg. Math. Soc. Simon Stevin 14 (2007), 343–354.
  • [8] Dileo, G. and Pastore, A. M., Almost Kenmotsu manifolds and nullity distributions, J. Geom. 93 (2009), 46–61.
  • [9] Dileo, G. and Pastore, A. M., Almost Kenmotsu manifolds with a condition of η-parallelism, Differential Geom. Appl. 27 (2009), 671–679.
  • [10] Falcitelli, M. and Pastore, A. M., Almost Kenmotsu f -manifolds, Balkan J. Geom. Appl. 12 (2007), no. 1, 32–43.
  • [11] Gouli-Andreou, F. and Xenos, P. J., A class of contact metric 3–manifolds with ξ ∈ N (k, µ) and k, µ functions, Algebras Groups Geom. 17 (2000), 401–407.
  • [12] Gray, A., Spaces of constancy of curvature operators, Proc. Amer. Math. Soc. 17 (1966), 897–902.
  • [13] Janssens, D. and Vanhecke, L., Almost contact structures and curvatures tensors, Kodai Math. J. 4 (1981), no. 1, 1–27.
  • [14] Kenmotsu, K., A class of almost contact Riemannian manifolds, Tˆohoku Math. J. 24 (1972), 93–103.
  • [15] Kim, T. W. and Pak, H. K., Canonical foliations of certain classes of almost contact metric structures, Acta Math. Sin. (Engl. Ser.) 21 (2005), no. 4, 841–846.
  • [16] Kobayashi, S. and Nomizu, K., Foundations of Differential Geometry, Vol. I, II, Interscience Publishers, New York, 1963, 1969.
  • [17] Koufogiorgos, T. and Tsichlias, C., On the existence of a new class of contact metric mani- folds, Canad. Math. Bull. Vol. 43 (2000), no. 4, 440–447.
  • [18] Olszak, Z., Locally conformal almost cosymplectic manifolds, Colloq. Math. 57 (1989), 73–87.
  • [19] Pastore, A. M. and Saltarelli, V., Almost Kenmotsu manifolds with conformal Reeb foliation, Bull. Belg. Math. Soc. Simon Stevin 18 (2011) (to appear).
  • [20] Tanno, S., Some differential equations on Riemannian manifolds, J. Math. Soc. Japan, 30 (1978), 509–531.
Toplam 20 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Anna Maria Pastore Bu kişi benim

Vincenzo Saltarelli Bu kişi benim

Yayımlanma Tarihi 30 Ekim 2011
Yayımlandığı Sayı Yıl 2011 Cilt: 4 Sayı: 2

Kaynak Göster

APA Pastore, A. M., & Saltarelli, V. (2011). GENERALIZED NULLITY CONDITIONS ON ALMOST KENMOTSU MANIFOLDS. International Electronic Journal of Geometry, 4(2), 168-183.
AMA Pastore AM, Saltarelli V. GENERALIZED NULLITY CONDITIONS ON ALMOST KENMOTSU MANIFOLDS. Int. Electron. J. Geom. Ekim 2011;4(2):168-183.
Chicago Pastore, Anna Maria, ve Vincenzo Saltarelli. “GENERALIZED NULLITY CONDITIONS ON ALMOST KENMOTSU MANIFOLDS”. International Electronic Journal of Geometry 4, sy. 2 (Ekim 2011): 168-83.
EndNote Pastore AM, Saltarelli V (01 Ekim 2011) GENERALIZED NULLITY CONDITIONS ON ALMOST KENMOTSU MANIFOLDS. International Electronic Journal of Geometry 4 2 168–183.
IEEE A. M. Pastore ve V. Saltarelli, “GENERALIZED NULLITY CONDITIONS ON ALMOST KENMOTSU MANIFOLDS”, Int. Electron. J. Geom., c. 4, sy. 2, ss. 168–183, 2011.
ISNAD Pastore, Anna Maria - Saltarelli, Vincenzo. “GENERALIZED NULLITY CONDITIONS ON ALMOST KENMOTSU MANIFOLDS”. International Electronic Journal of Geometry 4/2 (Ekim 2011), 168-183.
JAMA Pastore AM, Saltarelli V. GENERALIZED NULLITY CONDITIONS ON ALMOST KENMOTSU MANIFOLDS. Int. Electron. J. Geom. 2011;4:168–183.
MLA Pastore, Anna Maria ve Vincenzo Saltarelli. “GENERALIZED NULLITY CONDITIONS ON ALMOST KENMOTSU MANIFOLDS”. International Electronic Journal of Geometry, c. 4, sy. 2, 2011, ss. 168-83.
Vancouver Pastore AM, Saltarelli V. GENERALIZED NULLITY CONDITIONS ON ALMOST KENMOTSU MANIFOLDS. Int. Electron. J. Geom. 2011;4(2):168-83.