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Contact geometry and CR-structures on spheres

100%

Bland J., Duchamp T.

Banach Center Publications

1995

tom 31

nr 1

99-113

A normal form for small CR-deformations of the standard CR-structure on the (2n+1)-sphere is presented. The space of normal forms is parameterized by a single function on the sphere. For n>1, the normal form is used to obtain explicit embeddings into $ℂ^{n+1}$. For n=1, the cohomological obstruction to embeddability is identified.

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Conjugate norms in ℂⁿ and related geometrical problems

86%

Baran M.

Instytut Matematyczny Polskiej Akademii Nauk

CONTENTS Introduction.........................................................................................................5 1. Conjugate norms in ℝⁿ..................................................................................10 2. Conjugate norms in ℂⁿ..................................................................................16 3. Extremal properties of norms F(f,·) in pluripotential theory............................29 4. Biholomorphic inequivalence of some convex circular domains....................35 5. The complex method of interpolation and conjugate norms in ℂⁿ.................43 6. On tensor products $ℝⁿ ⊗ ℝ^{k}$ and $ℂⁿ ⊗ ℂ^{k}$....................................54 7. The complex interpolation of a complexification of a real Hilbert space.........62 References........................................................................................................65

Ograniczanie wyników

1 Banach Center Publications

1 Baran M.

1 Bland J.

1 Duchamp T.

1 1998

1 1995

Wyniki wyszukiwania

Contact geometry and CR-structures on spheres

Conjugate norms in ℂⁿ and related geometrical problems