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On some classes of biharmonic Legendre curves in generalized Sasakian space forms

  • Autores: Cihan Özgür, Saban Güvenç
  • Localización: Collectanea mathematica, ISSN 0010-0757, Vol. 65, Fasc. 2, 2014, págs. 203-218
  • Idioma: inglés
  • DOI: 10.1007/s13348-013-0093-4
  • Texto completo no disponible (Saber más ...)
  • Resumen
    • We find the characterizations of the curvatures of biharmonic Legendre curves in generalized Sasakian space forms with constant functions.

  • Referencias bibliográficas
    • Alegre, P., Blair, D.E., Carriazo, A.: Generalized Sasakian space-forms. Israel J. of Math. 141, 157–183 (2004)
    • Alegre, P., Carriazo, A.: Structures on generalized Sasakian-space-forms. Differ. Geom. Appl. 26(6), 656–666 (2008)
    • Blair, D.E.: The theory of quasi-Sasakian structures. J. Differ. Geom. 1, 331–345 (1967)
    • Blair, D.E.: Riemannian Geometry of Contact and Symplectic Manifolds. Birkhauser, Boston (2002)
    • Caddeo, R., Montaldo, S., Oniciuc, C.: Biharmonic submanifolds of S^{3}. Internat. J. Math. 12, 867–876 (2001)
    • Caddeo, R., Montaldo, S., Oniciuc, C.: Biharmonic submanifolds in spheres. Israel J. Math. 130, 109–123 (2002)
    • Chen, B.-Y.: A report on submanifolds of finite type. Soochow J. Math. 22, 117–337 (1996)
    • Chen, B.-Y., Ishikawa, S.: Biharmonic pseudo-Riemannian submanifolds in pseudo-Euclidean spaces. Kyushu J. Math. 52, 167–185 (1998)
    • Cho, J.T., Inoguchi, J., Lee, J.-E.: On slant curves in Sasakian 3-manifolds. Bull. Austral. Math. Soc. 74(3), 359–367 (2006)
    • Eells Jr, J., Sampson, J.H.: Harmonic mappings of Riemannian manifolds. Am. J. Math. 86, 109–160 (1964)
    • Fetcu, D.: Biharmonic curves in the generalized Heisenberg group. Beitrage zur Algebra und Geometrie 46, 513–521 (2005)
    • Fetcu, D.: Biharmonic Legendre curves in Sasakian space forms. J. Korean Math. Soc. 45, 393–404 (2008)
    • Fetcu, D., Oniciuc, C.: Biharmonic hypersurfaces in Sasakian space forms. Differ. Geom. Appl. 27, 713–722 (2009)
    • Fetcu, D., Oniciuc, C.: Explicit formulas for biharmonic submanifolds in Sasakian space forms. Pac. J. Math. 240, 85–107 (2009)
    • Jiang, G.Y.: 2-Harmonic maps and their first and second variational formulas. Chin. Ann. Math. Ser. A 7, 389–402 (1986)
    • Kenmotsu, K.: A class of almost contact Riemannian manifolds. Tôhoku Math. J. 24, 93–103 (1972)
    • Marrero, J.C.: The local structure of trans-Sasakian manifolds. Ann. Mat. Pura Appl. 162, 77–86 (1992)
    • Montaldo, S., Oniciuc, C.: A short survey on biharmonic maps between Riemannian manifolds. Rev. Un. Mat. Argent. 47, 1–22 (2006)
    • Ou, Y.-L.: p-Harmonic morphisms, biharmonic morphisms, and nonharmonic biharmonic maps. J. Geom. Phys. 56, 358–374 (2006)
    • Oubiña, J.A.: New classes of almost contact metric structures. Publ. Math. Debrecen 32(3–4), 187–193 (1985)
    • Özgür, C., Tripathi, M.: On Legendre curves in \alpha-Sasakian manifolds. Bull. Malays. Math. Sci. Soc. 31(1), 91–96 (2008)

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