Results 291 to 300 of about 193,587 (326)
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Prescribing Morse Scalar Curvatures
Milan Journal of Mathematics, 2022zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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On symmetric finsler spaces ofHp-scalar curvature and scalar curvature
Periodica Mathematica Hungarica, 1986A Finsler space \(F_ n\) is said to be of Hp-scalar curvature if \(p\cdot H_{\ell ijr}=k(h_{\ell j} h_{ir}-h_{\ell r} h_{ij})\), where \(H_{\ell ijr}\) is the Berwald h-curvature tensor, p is an operator projecting on the indicatrix, \(h_{ij}\) is the angular metric tensor, and k is the curvature scalar.
Sinha, B. B., Ram, A.
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The Journal of Geometric Analysis, 2016
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Abedin, Farhan, Corvino, Justin
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Abedin, Farhan, Corvino, Justin
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S-Curvature, E-Curvature, and Berwald Scalar Curvature of Finsler Spaces
Differential Geometry and its Applications, 2023This paper deals with the study of \(S\)-curvature, \(E\)-curvature and Berwald scalar curvature for Finsler spaces. More exactly, the author proves that the \(S\)-curvature of a Finsler space vanishes if and only if the \(E\)-curvature vanishes if and only if the Berwald scalar curvature vanishes.
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Transactions of the American Mathematical Society, 1987
The authors prove a theorem for the existence of a solution of the nonlinear elliptic equation \(-\Delta u+2=R(x)\ell\) 4, \(u\in S\) 2 under some conditions on R(x) but not symmetry. This is the first existence result where R(x) is not symmetric.
Chen, Wenxiong, Ding, Weiyue
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The authors prove a theorem for the existence of a solution of the nonlinear elliptic equation \(-\Delta u+2=R(x)\ell\) 4, \(u\in S\) 2 under some conditions on R(x) but not symmetry. This is the first existence result where R(x) is not symmetric.
Chen, Wenxiong, Ding, Weiyue
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Gap Extremality for Scalar Curvature
The Journal of Geometric AnalysiszbMATH Open Web Interface contents unavailable due to conflicting licenses.
Sun, Yukai, Wang, Changliang
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1998
Let (M n , g) be a C ∞ Riemannian manifold of dimension n ≥ 2. Given f a smooth function on M n , the Problem is: Does there exist a metric g′ on M such that the scalar curvature R′ of g′ is equal to f ?
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Let (M n , g) be a C ∞ Riemannian manifold of dimension n ≥ 2. Given f a smooth function on M n , the Problem is: Does there exist a metric g′ on M such that the scalar curvature R′ of g′ is equal to f ?
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1976
We shall deal with some problems concerning the scalar curvature of compact riemannian manifolds. In particular we shall deal with the problem of Yamabe: Does there exist a conformal metric for which the scalar curvature is constant? And also problems posed by Chern, Nirenberg and others.
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We shall deal with some problems concerning the scalar curvature of compact riemannian manifolds. In particular we shall deal with the problem of Yamabe: Does there exist a conformal metric for which the scalar curvature is constant? And also problems posed by Chern, Nirenberg and others.
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