Acta mathematica scientia,Series B ›› 1998, Vol. 18 ›› Issue (4): 435-439.

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HOMOTOPY FORMULA FOR A LOCAL q-CONCAVE WEDGE IN STEIN MANIFOLDS AND IT'S APPLICATIONS

Zhong Tongde   

  1. Institute of Mathematics. Xiamen University, Xiamen 561005, China
  • Received:1996-09-27 Online:1998-12-25 Published:1998-12-25
  • Supported by:
    Research supported by the National Science Fundation of China

Abstract: A homotopy formula for a loced q-concave wedge in Stein manifolds is obtained, by using this formula the ∂-equation on local q-concave wedges is solved, and an extension problem on local q-concave wedges is discussed.

Key words: stein manifold, Local q-concave wedge, Homotopy formula, ∂-equation, Holomorphic extension

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