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## Second Order Renormalization Group Flow on Warped Product Manifolds

#### Asadollah RAZAVİ [1] , Zoheir TOEİSERKANİ [2]

In this work we have studied the evolution of a warped product (WP) manifold under second order
renormalization group (RG-2) flow. We have shown some conditions for the existence of a solution of RG-2
flow on WP manifolds. Also, we have found a necessary condition for warped function under RG-2 flow. In
particular, we study some special WP metric of real line with a manifold. Eventually, by extending conditions
to pseudo-Riemannian manifold, we find a PDE for Robertson-Walker (RW) metrics, and show that there is
no RG-2 flow for RW metrics.

Ricci flow, second order renormalization group flow, warped product manifold
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Primary Language en Articles Orcid: 0000-0002-9210-9825Author: Asadollah RAZAVİ (Primary Author)Institution: Shahid Bahonar University of KermanCountry: Iran Author: Zoheir TOEİSERKANİ Institution: Shahid Bahonar University of KermanCountry: Iran Publication Date : May 31, 2019
 Bibtex @research article { cankujse467824, journal = {Cankaya University Journal of Science and Engineering}, issn = {}, eissn = {2564-7954}, address = {}, publisher = {Cankaya University}, year = {2019}, volume = {16}, pages = {81 - 97}, doi = {}, title = {Second Order Renormalization Group Flow on Warped Product Manifolds}, key = {cite}, author = {Razavi̇, Asadollah and Toei̇serkani̇, Zoheir} } APA Razavi̇, A , Toei̇serkani̇, Z . (2019). Second Order Renormalization Group Flow on Warped Product Manifolds . Cankaya University Journal of Science and Engineering , 16 (1) , 81-97 . Retrieved from https://dergipark.org.tr/en/pub/cankujse/issue/45603/467824 MLA Razavi̇, A , Toei̇serkani̇, Z . "Second Order Renormalization Group Flow on Warped Product Manifolds" . Cankaya University Journal of Science and Engineering 16 (2019 ): 81-97 Chicago Razavi̇, A , Toei̇serkani̇, Z . "Second Order Renormalization Group Flow on Warped Product Manifolds". Cankaya University Journal of Science and Engineering 16 (2019 ): 81-97 RIS TY - JOUR T1 - Second Order Renormalization Group Flow on Warped Product Manifolds AU - Asadollah Razavi̇ , Zoheir Toei̇serkani̇ Y1 - 2019 PY - 2019 N1 - DO - T2 - Cankaya University Journal of Science and Engineering JF - Journal JO - JOR SP - 81 EP - 97 VL - 16 IS - 1 SN - -2564-7954 M3 - UR - Y2 - 2019 ER - EndNote %0 Cankaya University Journal of Science and Engineering Second Order Renormalization Group Flow on Warped Product Manifolds %A Asadollah Razavi̇ , Zoheir Toei̇serkani̇ %T Second Order Renormalization Group Flow on Warped Product Manifolds %D 2019 %J Cankaya University Journal of Science and Engineering %P -2564-7954 %V 16 %N 1 %R %U ISNAD Razavi̇, Asadollah , Toei̇serkani̇, Zoheir . "Second Order Renormalization Group Flow on Warped Product Manifolds". Cankaya University Journal of Science and Engineering 16 / 1 (May 2019): 81-97 . AMA Razavi̇ A , Toei̇serkani̇ Z . Second Order Renormalization Group Flow on Warped Product Manifolds. Cankaya University Journal of Science and Engineering. 2019; 16(1): 81-97. Vancouver Razavi̇ A , Toei̇serkani̇ Z . Second Order Renormalization Group Flow on Warped Product Manifolds. Cankaya University Journal of Science and Engineering. 2019; 16(1): 81-97.

Authors of the Article
[2]