St. Petersburg Mathematical Journal, 15. cilt,469-972. sayfalarAmerican Mathematical Society, 2004 |
Kitabın içinden
10 sonuçtan 1-3 arası sonuçlar
Sayfa 493
... geodesic connecting u ( x ) with uo ( x ) . The parallel translation Þ ( u ( x ) , u ( x ) ) along such a geodesic yields an isomorphism ( u , uo ) of the spaces of H1- smooth vector fields H ' ( u * TM ' ) and H = H ' ( uTM ' ) for ...
... geodesic connecting u ( x ) with uo ( x ) . The parallel translation Þ ( u ( x ) , u ( x ) ) along such a geodesic yields an isomorphism ( u , uo ) of the spaces of H1- smooth vector fields H ' ( u * TM ' ) and H = H ' ( uTM ' ) for ...
Sayfa 502
... geodesic in M ' . If M ' has a nonpositive sectional curvature , then any two homotopic mappings are geodesically homotopic . Indeed , a geodesic homotopy is constructed by replacing the curve s → H , ( x ) with a unique geodesic that ...
... geodesic in M ' . If M ' has a nonpositive sectional curvature , then any two homotopic mappings are geodesically homotopic . Indeed , a geodesic homotopy is constructed by replacing the curve s → H , ( x ) with a unique geodesic that ...
Sayfa 757
... geodesic balls of radii r1 and r2 and lying in BR , then ƒ = 0 in BR ( see [ 10 , Chapter 1 , Proof of Theorem 4.2 ] ) . We note that these conditions on r1 and r1⁄2 are sharp , and that the question on the injectivity of P ( B ,,, B ...
... geodesic balls of radii r1 and r2 and lying in BR , then ƒ = 0 in BR ( see [ 10 , Chapter 1 , Proof of Theorem 4.2 ] ) . We note that these conditions on r1 and r1⁄2 are sharp , and that the question on the injectivity of P ( B ,,, B ...
İçindekiler
S 1061002204008180 | 470 |
3 Linearized differential operators | 480 |
5 Moduli spaces for the solutions of quasilinear elliptic | 488 |
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