Results 121 to 130 of about 1,071 (142)
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1998
In this chapter we deal with problems concerning Ricci Curvature mainly: Prescribing the Ricci curvature Ricci curvature with a given sign Existence of Einstein metrics.
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In this chapter we deal with problems concerning Ricci Curvature mainly: Prescribing the Ricci curvature Ricci curvature with a given sign Existence of Einstein metrics.
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Publicationes Mathematicae Debrecen, 2005
The author provides some estimates of the integrals over \([0, t]\) of the Ricci curvature in the direction of \(\gamma '(s)\), \(\gamma\) being a geodesic without conjugate points between \(0\) and \(t\).
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The author provides some estimates of the integrals over \([0, t]\) of the Ricci curvature in the direction of \(\gamma '(s)\), \(\gamma\) being a geodesic without conjugate points between \(0\) and \(t\).
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Japanese Journal of Mathematics, 2009
This article is based on the 5th Takagi Lectures delivered by Jean-Pierre Bourguignon at the University of Tokyo on October 4 and 5, 2008. It offers the general reader -- even those of us not steeped in Differential Geometry -- a fascinating glimpse and interesting account of the development, during the last thirty years, of the analysis of spaces ...
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This article is based on the 5th Takagi Lectures delivered by Jean-Pierre Bourguignon at the University of Tokyo on October 4 and 5, 2008. It offers the general reader -- even those of us not steeped in Differential Geometry -- a fascinating glimpse and interesting account of the development, during the last thirty years, of the analysis of spaces ...
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1984
Let g = {gij be a Riemannian metric on a manifold M of dimension n. It is Ricci curvature Rc(g) = {Rij} is given by the formula $$ {R_{{ij}}} = \frac{1}{{2(n - 1)}}{g^{{k2}}}\left[ {\frac{{{\partial ^{2}}}}{{\partial {x^{1}}\partial {x^{k}}}}{g_{{j2}}} + \frac{{{\partial ^{2}}}}{{\partial {x^{j}}\partial {x^{2}}}}{g_{{ik}}} - \frac{{{\partial ^{2}}}
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Let g = {gij be a Riemannian metric on a manifold M of dimension n. It is Ricci curvature Rc(g) = {Rij} is given by the formula $$ {R_{{ij}}} = \frac{1}{{2(n - 1)}}{g^{{k2}}}\left[ {\frac{{{\partial ^{2}}}}{{\partial {x^{1}}\partial {x^{k}}}}{g_{{j2}}} + \frac{{{\partial ^{2}}}}{{\partial {x^{j}}\partial {x^{2}}}}{g_{{ik}}} - \frac{{{\partial ^{2}}}
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$$*$$-$$\eta $$-Ricci soliton and contact geometry
Ricerche Di Matematica, 2021Santu Dey, Arindam Bhattacharyya
exaly
Ricci Flow for 3D Shape Analysis
IEEE Transactions on Pattern Analysis and Machine Intelligence, 2010Dimitris Samaras
exaly