Bulletin of the American Mathematical Society

MathSciNet review: 1567463
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Book Information:

Authors: 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.

Aurel Bejancu, $\textrm {CR}$ submanifolds of a Kaehler manifold. I, Proc. Amer. Math. Soc. 69 (1978), no. 1, 135–142. MR 467630, DOI 10.1090/S0002-9939-1978-0467630-0

Aurel 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), no. 2, 393–398. MR 562327

David E. Blair, Contact manifolds in Riemannian geometry, Lecture Notes in Mathematics, Vol. 509, Springer-Verlag, Berlin-New York, 1976. MR 0467588

David E. Blair and Bang-Yen Chen, On CR-submanifolds of Hermitian manifolds, Israel J. Math. 34 (1979), no. 4, 353–363 (1980). MR 570892, DOI 10.1007/BF02760614

Bang-yen Chen, Geometry of submanifolds and its applications, Science University of Tokyo, Tokyo, 1981. MR 627323

Bang-yen Chen, CR-submanifolds of a Kaehler manifold. I, J. Differential Geometry 16 (1981), no. 2, 305–322. MR 638795

Bang-yen Chen and Koichi Ogiue, On totally real submanifolds, Trans. Amer. Math. Soc. 193 (1974), 257–266. MR 346708, DOI 10.1090/S0002-9947-1974-0346708-7

8.

E. Kähler, Über eine bemerkenswerte Hermitische Metrik, Abh. Math. Sem. Univ. Hamburg 9 (1933), 173-186.

Koichi Ogiue, Differential geometry of Kaehler submanifolds, Advances in Math. 13 (1974), 73–114. MR 346719, DOI 10.1016/0001-8708(74)90066-8

J. A. Schouten and D. van Dantzig, Über unitäre Geometrie, Math. Ann. 103 (1930), no. 1, 319–346 (German). MR 1512625, DOI 10.1007/BF01455698

11.

J. A. Schouten and D. van Dantzig, Über unitäre Geometrie konstanter Krümmung, Proc. Kon. Nederl. Akad. Amster dam 34 (1931), 1293-1314.

Kentaro Yano, On a structure defined by a tensor field $f$ of type $(1,\,1)$ satisfying $f^{3}+f=0$, Tensor (N.S.) 14 (1963), 99–109. MR 159296

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 0467630

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