تقرير
$\ast$-$\eta$-Ricci-Yamabe solitons on $\alpha$-Cosymplectic manifolds with a quarter-symmetric metric connection
| العنوان: | $\ast$-$\eta$-Ricci-Yamabe solitons on $\alpha$-Cosymplectic manifolds with a quarter-symmetric metric connection |
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| المؤلفون: | Roy, Soumendu, Dey, Santu, Bhattacharyya, Arindam, Siddiqi, Mohd. Danish |
| سنة النشر: | 2021 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 53C15, 53C25, 53C44 |
| الوصف: | The goal of the present paper is to deliberate certain types of metric such as $*$-$\eta$-Ricci-Yamabe soliton on $\alpha$-Cosymplectic manifolds with respect to quarter-symmetric metric connection. Further, we have proved some curvature properties of $\alpha$-Cosymplectic manifolds admitting quarter-symmetric metric connection. Here, we have shown the characteristics of the soliton when the manifold satisfies quarter-symmetric metric connection on $\alpha$-Cosymplectic manifolds. Later, we have acquired Laplace equation from $*$-$\eta$-Ricci-Yamabe soliton equation when the potential vector field $\xi$ of the soliton is of gradient type in terms of quarter-symmetric metric connection. Next, we have developed the nature of the soliton when the vector field is conformal killing admitting quarter-symmetric metric connection. Finally, we present an example of a 5-dimensional $\alpha$-cosymplectic metric as a $*$-$\eta$-Ricci-Yamabe soliton with respect to a quarter-symmetric metric connection to prove our results. Comment: arXiv admin note: text overlap with arXiv:2105.11142 |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2109.04700 |
| رقم الأكسشن: | edsarx.2109.04700 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |