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Book Information

Author(s): Kentaro Yano and Masahiro Kon
Title: $CR$ submanifolds of Kaehlerian and Sasakian manifolds
Additional book information: Progress in Mathematics, Vol. 30, Birkhauser, Cambridge, Mass., 1982, x + 208 pp., $17.50. ISBN 3-7643-3119-4

1.: A. Bejancu, CR-submanifolds of a Kaehler manifold. I, II, Proc. Amer. Math. Soc. 69 (1978), 135-142; Trans. Amer. Math. Soc. 250 (1979), 333-345. MR 467630
2.: A. Bejancu, On the geometry of leaves on a CR-submanifold, An. Ştiinţ Univ. "Al. I. Cuza" Iaşi Secţ. I a Mat. (N.S.) 25 (1979), 393-398. MR 562327
3.: D. E. Blair, Contact manifolds in Riemannian geometry, Lecture Notes in Math., vol. 509, Springer, Berlin, 1976. MR 467588
4.: D. E. Blair and B. Y. Chen, On CR-submanifolds of Hermitian manifolds, Israel J. Math. 34 (1979), 353-363. MR 570892
5.: B. Y. Chen, Geometry of submanifolds and its applications, Sci. Univ. Tokyo Press, Tokyo, 1981. MR 627323
6.: B. Y. Chen, CR-submanifolds of a Kaehler manifold. I, II, J. Differential Geom. 16 (1981), 305-322, 493-509. MR 638795
7.: B. Y. Chen and K. Ogiue, On totally real submanifolds, Trans. Amer. Math. Soc. 193 (1974), 257-266. MR 346708
8.: E. Kähler, Über eine bemerkenswerte Hermitische Metrik, Abh. Math. Sem. Univ. Hamburg 9 (1933), 173-186.
9.: K. Ogiue, Differential geometry of Kaehler submanifolds, Adv. in Math. 13 (1974), 73-114. MR 346719
10.: J. A. Schouten and D. van Dantzig, Über unitäre Geometrie, Math. Ann. 103 (1930), 319-346. MR 1512625
11.: J. A. Schouten and D. van Dantzig, Über unitäre Geometrie konstanter Krümmung, Proc. Kon. Nederl. Akad. Amster dam 34 (1931), 1293-1314.
12.: K. Yano, On a structure by a tensor field ƒ of type (1, 1) satisfying ƒ³ + ƒ = 0, Tensor (N.S.) 14 (1963), 99-109. MR 159296

Review Information:
Journal: Bull. Amer. Math. Soc. 9 (1983), 361-364.
DOI: 10.1090/S0273-0979-1983-15209-6
PII: S 0273-0979(1983)15209-6

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ISSN 1088-9485(e) ISSN 0273-0979(p)

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