On the type decomposition of the second fundamental form of a Kähler submanifold

M. J. Ferreira; Renato Tribuzy

Rendiconti del Seminario Matematico della Università di Padova (1995)

  • Volume: 94, page 17-23
  • ISSN: 0041-8994

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Ferreira, M. J., and Tribuzy, Renato. "On the type decomposition of the second fundamental form of a Kähler submanifold." Rendiconti del Seminario Matematico della Università di Padova 94 (1995): 17-23. <http://eudml.org/doc/108369>.

@article{Ferreira1995,
author = {Ferreira, M. J., Tribuzy, Renato},
journal = {Rendiconti del Seminario Matematico della Università di Padova},
keywords = {isometric immersion; Kähler manifold; -geodesic map},
language = {eng},
pages = {17-23},
publisher = {Seminario Matematico of the University of Padua},
title = {On the type decomposition of the second fundamental form of a Kähler submanifold},
url = {http://eudml.org/doc/108369},
volume = {94},
year = {1995},
}

TY - JOUR
AU - Ferreira, M. J.
AU - Tribuzy, Renato
TI - On the type decomposition of the second fundamental form of a Kähler submanifold
JO - Rendiconti del Seminario Matematico della Università di Padova
PY - 1995
PB - Seminario Matematico of the University of Padua
VL - 94
SP - 17
EP - 23
LA - eng
KW - isometric immersion; Kähler manifold; -geodesic map
UR - http://eudml.org/doc/108369
ER -

References

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  1. [C-Y] B.Y. Chen - K. Yano, Pseudoumbilical submanifolds in a Riemannian manifold of constant curvature, Diff. Geom. in honor of K. Yano, Kinokuniya, Tokyo (1972), pp. 61-71. Zbl0245.53024MR328829
  2. [D-] M. Dacjzer - L. Rodrigues, Rigidity of real Kähler submanifolds, Duke Math. J., 53 (1986), pp. 211-220. MR835806
  3. [D-T] M. Dacjzer - G. Thorbergson, Holomorphicity of minimal submanifolds in complex spaceforms, Math. Ann., 277 (1987), pp. 353-360. Zbl0631.53046MR891580
  4. [F] D. Ferus, Symmetric submanifolds of Euclidean space, Math. Ann., 246, (1980), 81-93. Zbl0446.53041MR565140
  5. [F-R-T] M.J. Ferreira - M. Rigoli - R. Tribuzy, Isometric immersions of Kähler manifolds, to appear in Rend. Sem. Mat. Univ. Padova. Zbl0796.53064MR1257129
  6. [O-U] Y. Ohnita, - S. Udagowa, Complex analiticity of pluriharmonic maps and their constructions, Springer Lecture Notes in Mathematics, 1968, (1991); Prospects in Complex Geometry, Edited by J. Noguchi and T. Oshsawa, pp. 371-407. Zbl0749.58018MR1123550
  7. [R] J.H. Rawnsley, f-structures, f-twistor spaces and harmonic maps, Sem. Geom. L. Bianchi II (1984), Lectures Notes in Math., 1164, pp. 85-159. Zbl0592.58009MR829229

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