Bulletin of the American Mathematical Society

MathSciNet review: 1567623
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Book Information:

Author: Aurel Bejancu
Title: Geometry of CR-submanifolds
Additional book information: Mathematics and Its Applications, D. Reidel Publishing Company, Dordrecht, Boston, Lancaster, and Tokyo, xii + 169 pp., $49.50. ISBN 90-277-2194-7.

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

Eugenio Calabi, Isometric imbedding of complex manifolds, Ann. of Math. (2) 58 (1953), 1–23. MR 57000, DOI 10.2307/1969817

E. Calabi, Metric Riemann surfaces, Contributions to the theory of Riemann surfaces, Annals of Mathematics Studies, no. 30, Princeton University Press, Princeton, N.J., 1953, pp. 77–85. MR 0061675

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

5.

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

S. Kobayashi, Recent results in complex differential geometry, Jahresber. Deutsch. Math.-Verein. 83 (1981), no. 4, 147–158. MR 635391

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

9.

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

André Weil, Sur la théorie des formes différentielles attachées à une variété analytique complexe, Comment. Math. Helv. 20 (1947), 110–116 (French). MR 21431, DOI 10.1007/BF02568124

Kentaro Yano and Masahiro Kon, CR submanifolds of Kaehlerian and Sasakian manifolds, Progress in Mathematics, vol. 30, Birkhäuser, Boston, Mass., 1983. MR 688816

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.

E. Calabi, Isometric imbedding of complex manifolds, Ann. of Math. 58 (1953), 1-23. MR 57000

3.

E. Calabi, Metric Riemann surfaces, Ann. of Math. Studies (1953), 77-85. MR 61675

4.

B. Y. Chen, CR-submanifolds of a Kaehler manifold. I, II, J. Differential Geom. 16 (1981), 305-322; 493-509. MR 638795

5.

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

6.

S. Kobayashi, Recent results in complex differential geometry, Jahresber. Deutsch. Math.-Verein. 83 (1981), 147-158. MR 635391

7.

K. Ogiue, Differential geometry of Kaehler submanifolds, Adv. in Math. 13 (1974), 73-114. MR 346719

8.

J. A. Schouten and D. van Dantzig, Über unitäre Geometrie, Math. Ann. 103 (1930), 319-346. MR 1512625

9.

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

10.

A. Weil, Sur la théorie des formes différentielles attachées à une variété analytique complexe, Comm. Math. Helv. 20 (1947), 110-116. MR 21431

11.

K. Yano and M. Kon, CR-submanifolds of Kaehlerian and Sasakian manifolds, Birkhäuser, Cambridge, 1982. MR 688816