• 제목/요약/키워드: invariant

검색결과 2,151건 처리시간 0.027초

Drinfeld modules with bad reduction over complete local rings

  • Bae, Sung-Han
    • 대한수학회보
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    • 제32권2호
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    • pp.349-357
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    • 1995
  • In the theory of elliptic curves over a complete field with bad reduction (i.e. with nonintegral j-invariant) Tate elliptic curves play an important role. Likewise, in the theory of Drinfeld modules, Tate-Drinfeld modules replace Tate elliptic curves.

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GENERALIZED BOUNDED ANALYTIC FUNCTIONS IN THE SPACE Hω,p

  • Lee, Jun-Rak
    • Korean Journal of Mathematics
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    • 제13권2호
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    • pp.193-202
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    • 2005
  • We define a general space $H_{{\omega},p}$ of the Hardy space and improve that Aleman's results to the space $H_{{\omega},p}$. It follows that the multiplication operator on this space is cellular indecomposable and that each invariant subspace contains nontrivial bounded functions.

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A NOTE ON LIFTING TRANSFORMATION GROUPS

  • Cho, Sung Ki;Park, Choon Sung
    • Korean Journal of Mathematics
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    • 제5권2호
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    • pp.169-176
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    • 1997
  • The purpose of this note is to compare two known results related to the lifting problem of an action of a topological group G on a G-space X to a coverring space of X.

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AFFINE MANIFOLD WITH MEASURE PRESERVING PROJECTIVE HOLONOMY GROUP

  • Park, Yeong-Su
    • 대한수학회보
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    • 제38권1호
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    • pp.157-161
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    • 2001
  • In this paper, we prove that an affine manifold M is finitely covered by a manifold $\overline{M}$ where $\overline{M}$ is radiant or the tangent bundle of $\overline{M}$ has a conformally flat vector subbundle of the projective holonomy group of M admits an invariant probability Borel measure. This implies that$x^M$is zero.

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GEOMETRY ON EXOTIC HYPERBOLIC SPACES

  • Kim, In-Kang
    • 대한수학회지
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    • 제36권3호
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    • pp.621-631
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    • 1999
  • In this paper we briefly describe the geometry of the Cayley hyperbolic plane and we show that every uniform lattice in quaternionic space cannot be deformed in the Cayley hyperbolic 2-plane. We also describe the nongeometric bending deformation by developing the theory of the Cartan angular invariant for quaternionic hyperbolic space.

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