Jiancheng LIU

80105

Nonexistence of Stable Exponentially Harmonic Maps from or into Compact Convex Hypersurfaces in Rm+1

In this paper, we study the nonexistence problems for stable exponentially harmonic map into or from compact convex hypersurface Mm \subset Rm+1, and show that every nonconstant exponentially harmonic map f, between Mm and any compact Riemannian manifold, is unstable if (4) holds.
Anahtar Kelimeler:

Exponentially harmonic map, instability, convex hypersurface

Nonexistence of Stable Exponentially Harmonic Maps from or into Compact Convex Hypersurfaces in Rm+1

In this paper, we study the nonexistence problems for stable exponentially harmonic map into or from compact convex hypersurface Mm \subset Rm+1, and show that every nonconstant exponentially harmonic map f, between Mm and any compact Riemannian manifold, is unstable if (4) holds.
Keywords:

Exponentially harmonic map, instability, convex hypersurface,

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Turkish Journal of Mathematics-Cover
  • ISSN: 1300-0098
  • Yayın Aralığı: 6
  • Yayıncı: TÜBİTAK
Arşiv
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