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,
- ISSN: 1300-0098
- Yayın Aralığı: Yılda 6 Sayı
- Yayıncı: TÜBİTAK
Sayıdaki Diğer Makaleler
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Nonexistence of Stable Exponentially Harmonic Maps from or into Compact Convex Hypersurfaces in Rm+1
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