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Totally Real Stibmanifolds of Complex Manifolds

Gerald D. Ludden; Masafumi Okumura; Kentaro Yano

Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti (1975)

  • Volume: 58, Issue: 3, page 346-353
  • ISSN: 0392-7881

How to cite

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Ludden, Gerald D., Okumura, Masafumi, and Yano, Kentaro. "Totally Real Stibmanifolds of Complex Manifolds." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti 58.3 (1975): 346-353. <http://eudml.org/doc/291231>.

@article{Ludden1975,
author = {Ludden, Gerald D., Okumura, Masafumi, Yano, Kentaro},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti},
language = {eng},
month = {3},
number = {3},
pages = {346-353},
publisher = {Accademia Nazionale dei Lincei},
title = {Totally Real Stibmanifolds of Complex Manifolds},
url = {http://eudml.org/doc/291231},
volume = {58},
year = {1975},
}

TY - JOUR
AU - Ludden, Gerald D.
AU - Okumura, Masafumi
AU - Yano, Kentaro
TI - Totally Real Stibmanifolds of Complex Manifolds
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti
DA - 1975/3//
PB - Accademia Nazionale dei Lincei
VL - 58
IS - 3
SP - 346
EP - 353
LA - eng
UR - http://eudml.org/doc/291231
ER -

References

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  1. ABE, K. (1973) - Applications of a Riccati type differential equation to Riemannian manifolds with totally geodesic distributions, «Tohoku Math. Journ.», 25, 425-444. Zbl0283.53045MR350671DOI10.2748/tmj/1178241276
  2. CHEN, B. Y. and OGIUE, K. (1974) - On totally real submanifolds, «Trans. of AMS», 193, 257-266. Zbl0286.53019MR346708DOI10.2307/1996914
  3. CHERN, S. S., DO CARMO, M. P. and KOBAYOSHI, S. - Minimal submanifolds of a sphere whith second fundamental form of constant length, Functional analysis and Related Fields. (Proc. Conf. for M. Stont, Univ. Chicago, Chicago, Ill. 1968), Springer, New York, 1970, 59-75. MR273546
  4. HOUH, C. S. (1973) - Some totally real minimal hypersurfaces in CP2, «Proc. of AMS», 40, 240-244. MR317189DOI10.2307/2038670
  5. LAWSON, H. B. Jr. (1969) - Rigidity Theorems in rank 1 symmetric spaces, «J. off Diff. Geom.», 3, 367-377. MR267492
  6. OGIUE, K. - Differential geometry of Kaehler submanifolds, Notes from Michigan State University, to appear in «Advances in Mathematics». MR346719DOI10.1016/0001-8708(74)90066-8
  7. OKUMURA, M. - Submanifolds of real codimension p of a complex projective space, to appear. MR417994
  8. SMYTH, B. (1973) - Submanifolds of constant mean curvature, «Math. Ann.», 205, 265-280. Zbl0262.53037MR334102DOI10.1007/BF01362697
  9. WOLFE, J. A. (1963) - Elliptic spaces in Grassman manifolds, «Illinois J. of Math.», 7, 447-462. MR156295
  10. YANO, K. (1963) - On a structure defined by a tensor field f of type (1,1) satisfying f 3 + f = 0 , «Tensor N. S.», 14, 99-109. Zbl0122.40705MR159296

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