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• W2040748178 abstract "We shall prove that there are totally real and real analytic embeddings of $S^k$ in $cc^n$ which are not biholomorphically equivalent if $kgeq 5$ and $n=k+2[frac{k-1}{4}]$. We also show that a smooth manifold $M$ admits a totally real immersion in $cc^n$ with a trivial complex normal bundle if and only if the complexified tangent bundle of $M$ is trivial. The latter is proved by applying Gromov's weak homotopy equivalence principle for totally real immersions to Hirsch's transversal fields theory." @default.
• W2040748178 created "2016-06-24" @default.
• W2040748178 creator A5060274435 @default.
• W2040748178 date "1996-04-24" @default.
• W2040748178 modified "2023-09-27" @default.
• W2040748178 title "On totally real spheres in complex space" @default.
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