Reducing the codimension of Kähler immersions
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- by H. Jacobowitz
- Proc. Amer. Math. Soc. 78 (1980), 453-454
- DOI: https://doi.org/10.1090/S0002-9939-1980-0553395-X
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Abstract:
The codimension of an immersion of a Kähler manifold may be reduced if there is a holomorphic vector field normal to the manifold.References
- A. G. Colares and M. P. do Carmo, On minimal immersions with parallel normal curvature tensor, Geometry and topology (Proc. III Latin Amer. School of Math., Inst. Mat. Pura Aplicada CNPq, Rio de Janeiro, 1976) Lecture Notes in Math., Vol. 597, Springer, Berlin, 1977, pp. 104–113. MR 0493820
- Joseph Erbacher, Reduction of the codimension of an isometric immersion, J. Differential Geometry 5 (1971), 333–340. MR 288701
- Shing Tung Yau, Submanifolds with constant mean curvature. I, II, Amer. J. Math. 96 (1974), 346–366; ibid. 97 (1975), 76–100. MR 370443, DOI 10.2307/2373638
Bibliographic Information
- © Copyright 1980 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 78 (1980), 453-454
- MSC: Primary 53B35; Secondary 53C42
- DOI: https://doi.org/10.1090/S0002-9939-1980-0553395-X
- MathSciNet review: 553395