Jiancheng LIU

81106

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,

Turkish Journal of Mathematics-Cover

ISSN: 1300-0098
Yayın Aralığı: 6
Yayıncı: TÜBİTAK

Arşiv

Sayıdaki Diğer Makaleler

Basic Properties and Multipliers Space on L1(G)\cap L(p,q)(G) Spaces

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Metric Trees, Hyperconvex Hulls and Extensions

A. G. AKSOY, B. MAURIZI

Posner´s Second Theorem and an Annihilator Condition with Generalized Derivations

Vincenzo De FILIPPIS

Diametral Dimension and Köthe Spaces

Tosun TERZİOĞLU

Posner's Second theorem and an annihilator condition with generalized derivations

Vincenzo DE FILIPPIS

CR-submanifolds of an S- manifold

On Non-Existence of Lightlike Hypersurfaces of Indefinite Kenmotsu Space Form

Real Gromov- Witten invariants on the moduli space of genus o stable maps to a smooth rational projective space

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

Nonexistence of stable exponentially harmonic maps from or into compact convex hypersurfaces in $Bbb{R}^{m+1}$