Abstract
In this paper we consider a CR-submanifold of a Hermitian manifold and prove various integrability theorems on the submanifold. When the ambient space is Kaehlerian a number of differential geometric results are also obtained.
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References
A. Bejancu,CR-submanifolds of a Kaehler manifold I, Proc. Amer. Math. Soc.69 (1978), 135–142.
B. Y. Chen and K. Ogiue,On totally real submanifolds, Trans. Amer. Math. Soc.193 (1974), 257–266.
P. Dombrowski,On the geometry of the tangent bundle, J. Reine Angew. Math.210 (1962), 73–88.
S. Greenfield,Cauchy-Riemann equations in several variables, Ann. Scuola Norm. Sup. Pisa22 (1968), 275–314.
S. Sasaki,On the differential geometry of tangent bundles of Riemannian manifolds, Tôhoku Math. J.10 (1958), 338–354.
I. Vaisman,On locally conformal almost Kähler manifolds, Israel J. Math.24 (1976), 338–351.
K. Yano and S. Ishihara,Tangent and Cotangent Bundless, Dekker, New York, 1973.
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Blair, D.E., Chen, BY. On CR-submanifolds of Hermitian manifolds. Israel J. Math. 34, 353–363 (1979). https://doi.org/10.1007/BF02760614
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DOI: https://doi.org/10.1007/BF02760614