scholarly journals Ricci Solitons on Multiply Warped Product Manifolds

2020 ◽  
Vol 13 (2) ◽  
pp. 152-159
Author(s):  
Dilek AÇIKGÖZ KAYA ◽  
Leyla ONAT
Keyword(s):  
Warped Product ◽  
Ricci Solitons

scholarly journals Ricci solitons on singly warped product manifolds and applications

2021 ◽  
Vol 166 ◽  
pp. 104257
Author(s):  
Uday Chand De ◽  
Carlo Alberto Mantica ◽  
Sameh Shenawy ◽  
Bülent Ünal
Keyword(s):  
Warped Product ◽  
Ricci Solitons

scholarly journals Warped product CR-submanifolds of Sasakian manifolds with respect to certain connections

2019 ◽  
Vol 25 (3) ◽  
pp. 194-202
Author(s):  
Shyamal Kumar Hui ◽  
Joydeb Roy
Keyword(s):  
Warped Product ◽  
Ricci Solitons ◽  
Sasakian Manifolds ◽  
Metric Connection ◽  
Cr Submanifolds

The present paper deals with the study of warped product CR-submanifolds of Sasakian manifolds with respect to semisymmetric metric and semisymmetric non-metric connection. Among others, Ricci solitons of such notions have been investigated.

scholarly journals Gradient almost Ricci solitons on multiply warped product manifolds

2021 ◽  
Vol 13 (2) ◽  
pp. 386-394
Author(s):  
S. Günsen ◽  
L. Onat
Keyword(s):  
Potential Field ◽  
Warped Product ◽  
Einstein Manifold ◽  
Ricci Soliton ◽  
Ricci Solitons ◽  
Product Manifold ◽  
Rigidity Result ◽  
Warped Product Manifold ◽  
Almost Ricci Soliton

In this paper, we investigate multiply warped product manifold \[M =B\times_{b_1} F_1\times_{b_2} F_2\times_{b_3} \ldots \times_{b_m} F_m\] as a gradient almost Ricci soliton. Taking $b_i=b$ for $1\leq i \leq m$ lets us to deduce that potential field depends on $B$. With this idea we also get a rigidity result and show that base is a generalized quasi-Einstein manifold if $\nabla b$ is conformal.

scholarly journals ON A CLASSIFICATION OF WARPED PRODUCT SPACES WITH GRADIENT RICCI SOLITONS

2016 ◽  
Vol 24 (4) ◽  
pp. 627-636 ◽  
Author(s):  
Sang Deok Lee ◽  
Byung Hak Kim ◽  
Jin Hyuk Choi
Keyword(s):  
Warped Product ◽  
Ricci Solitons ◽  
Product Spaces ◽  
Gradient Ricci Solitons ◽  
Warped Product Spaces

scholarly journals Gradient Ricci solitons on multiply warped product manifolds

Filomat ◽  
2018 ◽  
Vol 32 (12) ◽  
pp. 4221-4228
Author(s):  
Fatma Karaca ◽  
Cıhan Özgür
Keyword(s):  
Warped Product ◽  
Sufficient Conditions ◽  
Necessary And Sufficient Conditions ◽  
Ricci Solitons ◽  
Gradient Ricci Solitons ◽  
Necessary And Sufficient

We consider gradient Ricci solitons on multiply warped product manifolds. We find the necessary and sufficient conditions for multiply warped product manifolds to be gradient Ricci solitons.

Warped product pointwise semi-slant submanifolds of cosymplectic space forms and their applications

2020 ◽  
Vol ahead-of-print (ahead-of-print) ◽  
Author(s):  
Lamia Saeed Alqahtani
Keyword(s):  
Warped Product ◽  
Sharp Estimate ◽  
Second Fundamental Form ◽  
Ricci Solitons ◽  
Warping Function ◽  
Dirichlet Energy ◽  
Space Forms ◽  
Equality Case ◽  
Slant Submanifolds ◽  
The Second Fundamental Form

In this paper some characterizations for the existence of warped product pointwise semi-slant submanifolds of cosymplectic space forms are obtained. Moreover, a sharp estimate for the squared norm of the second fundamental form is investigated, the equality case is also discussed. By the application of derived inequality, we compute an expression for Dirichlet energy of the involved warping function. Finally, we also proved some classifications for these warped product submanifolds in terms of Ricci solitons and Ricci curvature. A non-trivial example of these warped product submanifolds is provided.

Gradient Ricci Solitons with Structure of Warped Product

2016 ◽  
Vol 71 (3-4) ◽  
pp. 825-840 ◽  
Author(s):  
Márcio Lemes de Sousa ◽  
Romildo Pina
Keyword(s):  
Warped Product ◽  
Ricci Solitons ◽  
Gradient Ricci Solitons
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