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Dergiler / International Electronic Journal of Geometry / 2026 / Volume: 16 Issue: 1

Rigidity Results On Generalized m-Quasi Einstein Manifolds with Associated Affine Killing Vector Field.

Rahul Poddar(SRI SATHYA SAI INSTITUTE OF HIGHER LEARNING)0000-0002-5671-2774
Balasubramanian Subramanian(SRI SATHYA SAI INSTITUTE OF HIGHER LEARNING)0000-0001-8947-4840
R. Sharma(UNIVERSITY OF NEW HAVEN)0000-0001-5026-8564
Sayfa
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Yayın Tarihi
2023-04-30
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we show that the same result holds for a complete non-trivial $m$-quasi Einstein manifold $M$ with finite $m$ and associated affine Killing vector field.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:We study a non-trivial generalized $m$-quasi Einstein manifold $M$ with finite $m$ and associated divergence-free affine Killing vector field, and show that $M$ reduces to an $m$-quasi Einstein manifold.
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Temel Bulgular & Veri:In addition, if $M$ is complete, then it splits as the product of a line and an $(n-1)$-dimensional negatively Einstein manifold.
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Sonuç & Katkı:Finally, we show that the same result holds for a complete non-trivial $m$-quasi Einstein manifold $M$ with finite $m$ and associated affine Killing vector field.
🔬Tür:Research Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Generalized $m$-quasi Einstein manifold · affine Killing vector field · Einstein manifold

Abstract

We study a non-trivial generalized $m$-quasi Einstein manifold $M$ with finite $m$ and associated divergence-free affine Killing vector field, and show that $M$ reduces to an $m$-quasi Einstein manifold. In addition, if $M$ is complete, then it splits as the product of a line and an $(n-1)$-dimensional negatively Einstein manifold. Finally, we show that the same result holds for a complete non-trivial $m$-quasi Einstein manifold $M$ with finite $m$ and associated affine Killing vector field.

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Bu Makaleye Atıf Yap

Poddar, R., Subramanian, B., Sharma, R. (2023). Rigidity Results On Generalized m-Quasi Einstein Manifolds with Associated Affine Killing Vector Field.. International Electronic Journal of Geometry, Volume: 16 Issue: 1. https://doi.org/10.36890/iejg.1286128

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Kaynakça (10)

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