On The Existence of Yamabe Gradient Solitons

The Yamabe soliton is a special soliton of Yamabe flow obtained by R. S. Hamilton, which was formulated due to Yamabe formula introduced by H. Yamabe in 1960. Recently Cao, Sun and Zhang introduced Yamabe gradient soliton. In this paper, the existence of Yamabe gradient solitons on 4-dimensional Rie...

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Main Authors: Yadab Chandra Mandal, Shyamal Kumar Hui
Format: Article
Language:English
Published: International Journal of Mathematical, Engineering and Management Sciences 2018-12-01
Series:International Journal of Mathematical, Engineering and Management Sciences
Subjects:
Online Access:https://www.ijmems.in/assets//35-ijmems-18-021-vol.-3%2c-no.-4%2c-491%E2%80%93497%2c-2018.pdf
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spelling doaj-31518f775ddf474cbbf181bb83eaa6312020-11-25T02:16:07ZengInternational Journal of Mathematical, Engineering and Management SciencesInternational Journal of Mathematical, Engineering and Management Sciences2455-77492455-77492018-12-013449149710.33889/IJMEMS.2018.3.4-035On The Existence of Yamabe Gradient SolitonsYadab Chandra Mandal0Shyamal Kumar Hui1Department of Mathematics, The University of Burdwan, Golapbag, Burdwan -713104, West Bengal, IndiaDepartment of Mathematics, The University of Burdwan, Golapbag, Burdwan -713104, West Bengal, IndiaThe Yamabe soliton is a special soliton of Yamabe flow obtained by R. S. Hamilton, which was formulated due to Yamabe formula introduced by H. Yamabe in 1960. Recently Cao, Sun and Zhang introduced Yamabe gradient soliton. In this paper, the existence of Yamabe gradient solitons on 4-dimensional Riemannian manifold are ensured by some interesting examples.https://www.ijmems.in/assets//35-ijmems-18-021-vol.-3%2c-no.-4%2c-491%E2%80%93497%2c-2018.pdfYamabe gradient solitonRiemannian manifold.
collection DOAJ
language English
format Article
sources DOAJ
author Yadab Chandra Mandal
Shyamal Kumar Hui
spellingShingle Yadab Chandra Mandal
Shyamal Kumar Hui
On The Existence of Yamabe Gradient Solitons
International Journal of Mathematical, Engineering and Management Sciences
Yamabe gradient soliton
Riemannian manifold.
author_facet Yadab Chandra Mandal
Shyamal Kumar Hui
author_sort Yadab Chandra Mandal
title On The Existence of Yamabe Gradient Solitons
title_short On The Existence of Yamabe Gradient Solitons
title_full On The Existence of Yamabe Gradient Solitons
title_fullStr On The Existence of Yamabe Gradient Solitons
title_full_unstemmed On The Existence of Yamabe Gradient Solitons
title_sort on the existence of yamabe gradient solitons
publisher International Journal of Mathematical, Engineering and Management Sciences
series International Journal of Mathematical, Engineering and Management Sciences
issn 2455-7749
2455-7749
publishDate 2018-12-01
description The Yamabe soliton is a special soliton of Yamabe flow obtained by R. S. Hamilton, which was formulated due to Yamabe formula introduced by H. Yamabe in 1960. Recently Cao, Sun and Zhang introduced Yamabe gradient soliton. In this paper, the existence of Yamabe gradient solitons on 4-dimensional Riemannian manifold are ensured by some interesting examples.
topic Yamabe gradient soliton
Riemannian manifold.
url https://www.ijmems.in/assets//35-ijmems-18-021-vol.-3%2c-no.-4%2c-491%E2%80%93497%2c-2018.pdf
work_keys_str_mv AT yadabchandramandal ontheexistenceofyamabegradientsolitons
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