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Complex spaces with locally product metrics: general theory. (English) Zbl 0187.19402


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[1] Bochner, S., Vector Fields and Ricci Curvature, Bull. Amer. Math. Soc., 52, 776-797 (1946) · Zbl 0060.38301 · doi:10.1090/S0002-9904-1946-08647-4
[2] Bochner, S.; Martin, W. T., Several Complex Variables (1948), Princeton: Princeton University Press, Princeton · Zbl 0041.05205
[3] D. Lovelock,Complex Spaces with Locally Product Metrics: Special Spaces. · Zbl 0187.19403
[4] H. Rund,Calculus of Variations on Camplex Manifolds. Third Colloquium on the Calculus of Variations, University of South Africa, 10-85 (1965).
[5] Rund, H., The Differential Geometry of Finsler Spaces (1959), Berlin-Göttingen-Heidelberg: Springer-Verlag, Berlin-Göttingen-Heidelberg · Zbl 0087.36604
[6] Tachibana, S., Some Theorems on Locally Product Riemannian Spaces, Tôhuku Math. J., 12, 281-292 (1960) · Zbl 0094.34802
[7] Yano, K., Differential Geometry on Complex and Almost Complex Spaces (1965), Oxford: Pergamon Press, Oxford · Zbl 0127.12405
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