Einstein metrics and Ricci solitons - 편집 역사

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imported>Pythagoras0: section 'articles' updated

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section 'articles' updated

imported>Pythagoras0: /* articles */

2016-01-27T14:05:11Z

articles

imported>Pythagoras0: /* introduction */

2015-12-25T09:50:20Z

introduction

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imported>Pythagoras0: /* articles */

2015-11-21T10:49:23Z

articles

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imported>Pythagoras0: /* articles */

2015-08-11T10:05:33Z

articles

@@ 1번째 줄: / 1번째 줄: @@
 ==introduction==
-* A Riemannian manifold $(M, g)$ is called Einstein if it has constant Ricci curvature, i.e. $Ric_g=\kappa \cdot g$ for some $\kappa\in \mathbb{R}$
+* A Riemannian manifold <math>(M, g)</math> is called Einstein if it has constant Ricci curvature, i.e. <math>Ric_g=\kappa \cdot g</math> for some <math>\kappa\in \mathbb{R}</math>
 * In local coordinates,
-$$
+:<math>
 R_{ab} = \kappa\,g_{ab}
-$$
+</math>
 * Einstein manifolds, conformal Einstein manifolds and (generic and gradient) Ricci solitons
 * Ricci solitons on Finsler spaces are a generalization of Einstein spaces, which can be considered as a solution to the Ricci flow on compact Finsler manifolds.
@@ 32번째 줄: / 32번째 줄: @@
 * John Lott, Patrick Wilson, Note on asymptotically conical expanding Ricci solitons, arXiv:1605.02128 [math.DG], May 07 2016, http://arxiv.org/abs/1605.02128
 * Grama, Lino, and Ricardo Miranda Martins. “A Numerical Treatment to the Problem of the Quantity of Einstein Metrics on Flag Manifolds.” arXiv:1601.06972 [math-Ph], January 26, 2016. http://arxiv.org/abs/1601.06972.
-* Arvanitoyeorgos, Andreas, Yusuke Sakane, and Marina Statha. “New Einstein Metrics on the Lie Group $SO(n)$ Which Are Not Naturally Reductive.” arXiv:1511.08849 [math], November 25, 2015. http://arxiv.org/abs/1511.08849.
+* Arvanitoyeorgos, Andreas, Yusuke Sakane, and Marina Statha. “New Einstein Metrics on the Lie Group <math>SO(n)</math> Which Are Not Naturally Reductive.” arXiv:1511.08849 [math], November 25, 2015. http://arxiv.org/abs/1511.08849.
 * Stolarski, Maxwell. “Steady Ricci Solitons on Complex Line Bundles.” arXiv:1511.04087 [math], November 12, 2015. http://arxiv.org/abs/1511.04087.
 * Bidabad, Behroz, and Mohamad Yar Ahmadi. “On Compact Ricci Solitons in Finsler Geometry.” arXiv:1508.02148 [math], August 10, 2015. http://arxiv.org/abs/1508.02148.

← 이전 판		2020년 11월 13일 (금) 05:36 판
38번째 줄:		38번째 줄:
	* Fernandez-Lopez, Manuel, and Eduardo Garcia-Rio. “On Gradient Ricci Solitons with Constant Scalar Curvature.” arXiv:1409.3359 [math], September 11, 2014. http://arxiv.org/abs/1409.3359.		* Fernandez-Lopez, Manuel, and Eduardo Garcia-Rio. “On Gradient Ricci Solitons with Constant Scalar Curvature.” arXiv:1409.3359 [math], September 11, 2014. http://arxiv.org/abs/1409.3359.
	* Catino, Giovanni, Paolo Mastrolia, Dario D. Monticelli, and Marco Rigoli. 2014. “Conformal Ricci Solitons and Related Integrability Conditions.” arXiv:1405.3169 [math], May. http://arxiv.org/abs/1405.3169.		* Catino, Giovanni, Paolo Mastrolia, Dario D. Monticelli, and Marco Rigoli. 2014. “Conformal Ricci Solitons and Related Integrability Conditions.” arXiv:1405.3169 [math], May. http://arxiv.org/abs/1405.3169.
		+	[[분류:migrate]]

@@ 30번째 줄: / 30번째 줄: @@
 ==articles==
 * Grama, Lino, and Ricardo Miranda Martins. “A Numerical Treatment to the Problem of the Quantity of Einstein Metrics on Flag Manifolds.” arXiv:1601.06972 [math-Ph], January 26, 2016. http://arxiv.org/abs/1601.06972.
 * Arvanitoyeorgos, Andreas, Yusuke Sakane, and Marina Statha. “New Einstein Metrics on the Lie Group $SO(n)$ Which Are Not Naturally Reductive.” arXiv:1511.08849 [math], November 25, 2015. http://arxiv.org/abs/1511.08849.

@@ 30번째 줄: / 30번째 줄: @@
 ==articles==
 * Arvanitoyeorgos, Andreas, Yusuke Sakane, and Marina Statha. “New Einstein Metrics on the Lie Group $SO(n)$ Which Are Not Naturally Reductive.” arXiv:1511.08849 [math], November 25, 2015. http://arxiv.org/abs/1511.08849.
 * Stolarski, Maxwell. “Steady Ricci Solitons on Complex Line Bundles.” arXiv:1511.04087 [math], November 12, 2015. http://arxiv.org/abs/1511.04087.

@@ 1번째 줄: / 1번째 줄: @@
 ==introduction==
-* A Riemannian manifold $(M, g)$ is called Einstein if it has constant Ricci curvature, i.e. $Ric_g=\kappa \cdot g$ for some $kappa\in \mathbb{R}$
+* A Riemannian manifold $(M, g)$ is called Einstein if it has constant Ricci curvature, i.e. $Ric_g=\kappa \cdot g$ for some $\kappa\in \mathbb{R}$
 * In local coordinates,
 $$
@@ 7번째 줄: / 7번째 줄: @@
 * Einstein manifolds, conformal Einstein manifolds and (generic and gradient) Ricci solitons
 * Ricci solitons on Finsler spaces are a generalization of Einstein spaces, which can be considered as a solution to the Ricci flow on compact Finsler manifolds.
 ==Einstein equation==

@@ 9번째 줄: / 9번째 줄: @@
 ==articles==
 * Bidabad, Behroz, and Mohamad Yar Ahmadi. “On Compact Ricci Solitons in Finsler Geometry.” arXiv:1508.02148 [math], August 10, 2015. http://arxiv.org/abs/1508.02148.
 * Nurowski, Pawel, and Matthew Randall. “Generalised Ricci Solitons.” arXiv:1409.4179 [gr-Qc], September 15, 2014. http://arxiv.org/abs/1409.4179.
 * Fernandez-Lopez, Manuel, and Eduardo Garcia-Rio. “On Gradient Ricci Solitons with Constant Scalar Curvature.” arXiv:1409.3359 [math], September 11, 2014. http://arxiv.org/abs/1409.3359.
 * Catino, Giovanni, Paolo Mastrolia, Dario D. Monticelli, and Marco Rigoli. 2014. “Conformal Ricci Solitons and Related Integrability Conditions.” arXiv:1405.3169 [math], May. http://arxiv.org/abs/1405.3169.

← 이전 판		2015년 8월 11일 (화) 10:05 판
1번째 줄:		1번째 줄:
	==introduction==		==introduction==
	* Einstein manifolds, conformal Einstein manifolds and (generic and gradient) Ricci solitons		* Einstein manifolds, conformal Einstein manifolds and (generic and gradient) Ricci solitons
		+	* Ricci solitons on Finsler spaces, previously developed by the present authors, are a generalization of Einstein spaces, which can be considered as a solution to the Ricci flow on compact Finsler manifolds.