Let f ： M → M be a C^1＋α diffeomorphism on a smooth compact Riemannian manifold M and A be a Pesin set associated with the ergodic hyperbolic measure μ. Then f ： A → A forms a non-uniformly hyperbolic system. W...Let f ： M → M be a C^1＋α diffeomorphism on a smooth compact Riemannian manifold M and A be a Pesin set associated with the ergodic hyperbolic measure μ. Then f ： A → A forms a non-uniformly hyperbolic system. We concern with the distribution of the periodic orbits whose time averages are apart from the space average of μ. Finally, we derive a large deviation result for these periodic orbits with open deviation property.展开更多
In this paper we study the C3 compactness for minimal submanifolds in the unit sphere. We obtain two compactness theorems. As an application, we prove that there is a positive number δ(n), such that if the square of ...In this paper we study the C3 compactness for minimal submanifolds in the unit sphere. We obtain two compactness theorems. As an application, we prove that there is a positive number δ(n), such that if the square of the length of the second fundamental form of a minimal subrnanifold in the unit sphere is less than 2n/3+δ(n), it must be totally geodesic or diffeomorphic to a Veronese surface.展开更多
We have discussed the C-totally real subrnanifolds with parallel mean curvature vector of Sasakian space form, obtained a formula of J.Simons type, and improved one result of S.Yamaguchi.
T-tym phocyte migration under flow is critical for immune responses, but the mechanisms by which flow modulates the migratory beha- viors of T-lymphocytes remain unclear. Human peripheral blood T-lymphocytes （PBTLs）...T-tym phocyte migration under flow is critical for immune responses, but the mechanisms by which flow modulates the migratory beha- viors of T-lymphocytes remain unclear. Human peripheral blood T-lymphocytes （PBTLs）, when stimulated with phorboL 12-myristate 13-acetate （PMA）, stretched their ceU bodies dramatically and moved alongthe flow direction. In contrast, stromal ceil-derived factor- lα-stimulated PBTI.s deformed and migrated in a random manner. Here we elucidated the molecular mechanisms underlying flow- induced directionality and deformation of PMA-stimulated PBTLs. PMA primed PBTLs for polarization under flow, with protein kinase C （PKC）-δ enriched in the leading edge, PKC-β1 in the microtubuie organizing center, and PKC-1311 in the uropod and peripheral region. PKC-δ regulated cell protrusions in the leading edge through Tiaml/Racl/caLmoduUn, whereas PKC-β regulated RhoA/Rho- associated kinase activity and microtubule stability to modulate uropod contractility and detachment. Our findings indicate that PKC-δ and -β coordinate in the cell Leading edge and uropod, respectively, to modu｜ate the directionality and deformability of migratory T-Lymphocytes under flow.展开更多
基金supported by National Natural Science Foundation of China(Grant Nos.11226155 and 11471344)
文摘Let f ： M → M be a C^1＋α diffeomorphism on a smooth compact Riemannian manifold M and A be a Pesin set associated with the ergodic hyperbolic measure μ. Then f ： A → A forms a non-uniformly hyperbolic system. We concern with the distribution of the periodic orbits whose time averages are apart from the space average of μ. Finally, we derive a large deviation result for these periodic orbits with open deviation property.
基金Supported by the National Natural Scieuce Foundation of China(19971081)
文摘In this paper we study the C3 compactness for minimal submanifolds in the unit sphere. We obtain two compactness theorems. As an application, we prove that there is a positive number δ(n), such that if the square of the length of the second fundamental form of a minimal subrnanifold in the unit sphere is less than 2n/3+δ(n), it must be totally geodesic or diffeomorphic to a Veronese surface.
文摘We have discussed the C-totally real subrnanifolds with parallel mean curvature vector of Sasakian space form, obtained a formula of J.Simons type, and improved one result of S.Yamaguchi.
文摘T-tym phocyte migration under flow is critical for immune responses, but the mechanisms by which flow modulates the migratory beha- viors of T-lymphocytes remain unclear. Human peripheral blood T-lymphocytes （PBTLs）, when stimulated with phorboL 12-myristate 13-acetate （PMA）, stretched their ceU bodies dramatically and moved alongthe flow direction. In contrast, stromal ceil-derived factor- lα-stimulated PBTI.s deformed and migrated in a random manner. Here we elucidated the molecular mechanisms underlying flow- induced directionality and deformation of PMA-stimulated PBTLs. PMA primed PBTLs for polarization under flow, with protein kinase C （PKC）-δ enriched in the leading edge, PKC-β1 in the microtubuie organizing center, and PKC-1311 in the uropod and peripheral region. PKC-δ regulated cell protrusions in the leading edge through Tiaml/Racl/caLmoduUn, whereas PKC-β regulated RhoA/Rho- associated kinase activity and microtubule stability to modulate uropod contractility and detachment. Our findings indicate that PKC-δ and -β coordinate in the cell Leading edge and uropod, respectively, to modu｜ate the directionality and deformability of migratory T-Lymphocytes under flow.
