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Hyperbolic Ricci-Bourguignon flow | ||
| Computational Methods for Differential Equations | ||
| مقاله 6، دوره 9، شماره 2، تیر 2021، صفحه 399-409 اصل مقاله (299.15 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22034/cmde.2020.34205.1566 | ||
| نویسنده | ||
| Shahroud Azami* | ||
| Department of pure Mathematics, Faculty of Sciences Imam Khomeini International University, Qazvin, Iran. | ||
| چکیده | ||
| In this paper, we consider the hyperbolic Ricci-Bourguignon flow on a compact manifold M and show that this flow has a unique solution on short-time with imposing on initial conditions. After then, we find evolution equations for Riemannian curvature tensor, Ricci curvature tensor and scalar curvature of M under this flow. In the final section, we give some examples of this flow on some compact manifolds. | ||
| کلیدواژهها | ||
| Geometric flow؛ Hyperbolic equation؛ Strictly hyperbolicity | ||
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آمار تعداد مشاهده مقاله: 390 تعداد دریافت فایل اصل مقاله: 353 |
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