In this paper,a■-invariant Lorentz metric on the Dirac-Lu space is given,and then the geodesic equationis investigated.Finally,we discuss the field equations and find their solutions by the method of separating varia...In this paper,a■-invariant Lorentz metric on the Dirac-Lu space is given,and then the geodesic equationis investigated.Finally,we discuss the field equations and find their solutions by the method of separating variables.展开更多
A local gradient estimate for positive solutions of porous medium equations on complete noncompact Riemannian manifolds under the Ricci flow is derived. Moreover, a global gradient estimate for such equations on compa...A local gradient estimate for positive solutions of porous medium equations on complete noncompact Riemannian manifolds under the Ricci flow is derived. Moreover, a global gradient estimate for such equations on compact Riemannian manifolds is also obtained.展开更多
基金supported by National Key Basic Research Project of China under Grant Nos.2004CB31800 and 2006CB805905National Natural Science Foundation of China under Grant No.10731080 and CUMT
文摘In this paper,a■-invariant Lorentz metric on the Dirac-Lu space is given,and then the geodesic equationis investigated.Finally,we discuss the field equations and find their solutions by the method of separating variables.
基金Supported by the National Natural Science Foundation of China(11571361)China Scholarship Council
文摘A local gradient estimate for positive solutions of porous medium equations on complete noncompact Riemannian manifolds under the Ricci flow is derived. Moreover, a global gradient estimate for such equations on compact Riemannian manifolds is also obtained.
