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Dergiler / International Electronic Journal of Geometry / 2020 / Cilt: 13 - Sayı: 1

Harmonic Maps and Torse-Forming Vector Fields

Ahmed Mohammed Cherif
Mustapha Djaa
Sayfa
87–93
Yayın Tarihi
2022-10-18
DOI
—
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In this paper, we prove that any harmonic map from a compact orientable Riemannian manifoldwithout boundary (or from complete Riemannian manifold) (M, g) to Riemannian manifold (N, h)is necessarily constant, with (N, h) admitting a torse-forming vector field satisfying some condition.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this paper, we prove that any harmonic map from a compact orientable Riemannian manifoldwithout boundary (or from complete Riemannian manifold) (M, g) to Riemannian manifold (N, h)is necessarily constant, with (N, h) admitting a torse-forming vector field satisfying some condition.
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Temel Bulgular & Veri:In this paper, we prove that any harmonic map from a compact orientable Riemannian manifoldwithout boundary (or from complete Riemannian manifold) (M, g) to Riemannian manifold (N, h)is necessarily constant, with (N, h) admitting a torse-forming vector field satisfying some condition.
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Sonuç & Katkı:In this paper, we prove that any harmonic map from a compact orientable Riemannian manifoldwithout boundary (or from complete Riemannian manifold) (M, g) to Riemannian manifold (N, h)is necessarily constant, with (N, h) admitting a torse-forming vector field satisfying some condition.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Harmonic maps · bi-harmonic maps · torse-forming vector fields

Abstract

In this paper, we prove that any harmonic map from a compact orientable Riemannian manifoldwithout boundary (or from complete Riemannian manifold) (M, g) to Riemannian manifold (N, h)is necessarily constant, with (N, h) admitting a torse-forming vector field satisfying some condition.

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Bu Makaleye Atıf Yap

Cherif, A. M., Djaa, M. (2022). Harmonic Maps and Torse-Forming Vector Fields. International Electronic Journal of Geometry, Cilt: 13 - Sayı: 1, 87–93. https://ajindex.com/articles/539616

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