DOI QR코드

DOI QR Code

ON AUTOMORPHISM GROUPS OF AN є-FRAMED MANIFOLD

  • Kim, J.S. (Department of Mathematics Education, Sunchon National University) ;
  • Cho, J.H. (Department of Mathematics Education, Sunchon National University) ;
  • Tripathi, M.M. (Department of Mathematics and Astronomy, Lucknow University) ;
  • Prasad, R. (Department of Mathematics and Astronomy, Lucknow University)
  • Published : 2002.10.01

Abstract

Two examples of $\varepsilon$-famed manifolds are constructed. It is proved that an $\varepsilon$-framed structure on a manifold is not unique. Automorphism groups of r-framed manifolds are studied. Lastly we prove that a connected Lie group G admits a left invariant normal $\varepsilon$-framed structure if and only if the Lie algebra of all left invariant vector fields on G is an $\varepsilon$-framed Lie algebra.

Keywords

$\varepsilon$-framed manifold;Lie group;Lie algebra

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