Normal Families of Complex Structures

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Authors

  • D. Sundararaman
     School of Mathematics, Tata Institute of Fundamental Research, Bombay-400005 ,IN

Abstract

Let M be a compact complex manifold and Ap be the space of smooth differential forms on M of type (0, p) with values in the complex vector bundle of tangent vectors of type (1,0).

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Published

1975-12-01

How to Cite

Sundararaman, D. (1975). Normal Families of Complex Structures. The Journal of the Indian Mathematical Society, 39(1-4), 149–154. Retrieved from https://informaticsjournals.co.in/index.php/jims/article/view/16642

Issue

Volume 39, Issue 1-4, March-December 1975

Section

Articles

License

Copyright (c) 1975 D. Sundararaman

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

 

References

ARTIN, M., On the solutions of analytic equations, Invent. Math. 5 (1968) 277-291.

GRIFFITHS, PH.A., The extension problem for compact submanifolds of complex manifolds, I., Proceedings of the Conference on Complex Analysis, Minneapolis (1964), 113-142. Springer-Verlag, Berlin, 1965.

KODAIRA, K,-NIRENBERG, L-SPENCER, D.C., On the existence of deformations of Complex Analytic Structures, Ann. Math. 68, (1958) 450-459, 4. KODAIRA, K-SPENCER, D.C., On the deformations of Complex Analytic Structures, II, Ann. Math. 67, (1957), 403-466.

KODAIRA, K-MORROW, J.A., Complex Manifolds, Holt, Reinhart and Winston, New York, 1971.

KURANISHI, M., On a type of a family of Complex Structures, Ann. Math. 74 (1961), 262-328.

KURANISHI, M., New Proof for the existence of locally complete families of Complex Structures, Proceedings of the Conference on Complex Analysis, Minneapolis (1964), 142-154, Springer-Verlag, Berlin, 1965.

SUNDARARAMAN, D., Normal Filtration of H^M, 0), Journal of Differential Geometry, 8, (1973), 225-248.