Abstract
This paper aims to be a natural continuation of our very recent research, published in [Int. J. Geom. Meth. Mod. Phys.8(4) (2011) 783–796]. Using as geometric background a generalized Poincaré manifold, this work presents models of new explicit classes of manifolds within the class of gradient Ricci solitons. In Sec. 1 we shortly introduce a history of this topic to motivate its relevance both for theoretical and applied sciences, and in Sec. 2 our work contains its notations and assumptions. In Sec. 3 we give our framework and introduce the basic result, and in Sec. 4 we develop our theory. Finally, in Sec. 5, we conclude this paper and suggest possible further development. While the background in the first two sections is introductory, the theory in Secs. 3 and 4 is new as a whole, containing original results.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callMore From: International Journal of Geometric Methods in Modern Physics
Disclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
