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Ricci Curvature of Finsler Metrics by Warped Product- [electronic resource]
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Ricci Curvature of Finsler Metrics by Warped Product- [electronic resource]
자료유형  
 학위논문
Control Number  
0016932529
International Standard Book Number  
9798379678869
Dewey Decimal Classification Number  
517
Main Entry-Personal Name  
Marcal, Patricia.
Publication, Distribution, etc. (Imprint  
[S.l.] : Purdue University., 2020
Publication, Distribution, etc. (Imprint  
Ann Arbor : ProQuest Dissertations & Theses, 2020
Physical Description  
1 online resource(66 p.)
General Note  
Source: Dissertations Abstracts International, Volume: 84-12, Section: B.
General Note  
Advisor: Shen, Zhongmin.
Dissertation Note  
Thesis (Ph.D.)--Purdue University, 2020.
Restrictions on Access Note  
This item must not be sold to any third party vendors.
Summary, Etc.  
요약In the present work, we consider a class of Finsler metrics using the warped product notion introduced by Chen, Shen and Zhao [1], with another "warping", one that is consistent with the form of metrics modeling static spacetimes and simplified by spherical symmetry over spatial coordinates, which emerged from the Schwarzschild metric in isotropic coordinates. We will give the PDE characterization for the proposed metrics to be Ricci-flat and construct explicit examples. Whenever possible, we describe both positive-definite solutions and solutions with Lorentz signature. For the latter, the 4-dimensional metrics may also be studied as Finsler spacetimes.
Subject Added Entry-Topical Term  
Calculus.
Subject Added Entry-Topical Term  
Spacetime.
Subject Added Entry-Topical Term  
Gravity.
Subject Added Entry-Topical Term  
Mathematicians.
Subject Added Entry-Topical Term  
Inequality.
Subject Added Entry-Topical Term  
Norms.
Subject Added Entry-Topical Term  
Geometry.
Subject Added Entry-Topical Term  
Topological manifolds.
Subject Added Entry-Topical Term  
Asymmetry.
Subject Added Entry-Topical Term  
Mathematics.
Subject Added Entry-Topical Term  
Theoretical physics.
Added Entry-Corporate Name  
Purdue University.
Host Item Entry  
Dissertations Abstracts International. 84-12B.
Host Item Entry  
Dissertation Abstract International
Electronic Location and Access  
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Control Number  
joongbu:643150
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