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80 sonuçtan 1-3 arası sonuçlar
Sayfa 483
If we assume Y to be only locally geodesic, then the same argument works if it is
known that all points yi , 7/2 G BcAv) aie connected in Y by a geodesic. This
finishes the proof of Theorem 1.2. Under the assumptions of Proposition 4.3,
assume ...
If we assume Y to be only locally geodesic, then the same argument works if it is
known that all points yi , 7/2 G BcAv) aie connected in Y by a geodesic. This
finishes the proof of Theorem 1.2. Under the assumptions of Proposition 4.3,
assume ...
Sayfa 489
Now, assume that X is an appropriate space in the sense of Definition 8.1. Then
expi ' is an isometry; hence, the cone Cx is a geodesic Euclidean cone and Dxf is
a weakly concave function on Cx. By Lemma 7.3, either x is a critical point of ...
Now, assume that X is an appropriate space in the sense of Definition 8.1. Then
expi ' is an isometry; hence, the cone Cx is a geodesic Euclidean cone and Dxf is
a weakly concave function on Cx. By Lemma 7.3, either x is a critical point of ...
Sayfa 490
Semiconcave functions in nonproper spaces. Assume that Z is a geodesic space
with one-sided curvature bound, U C Z is an open subset, and / : U — > R is a
semiconcave function. Then the ultraproduct Zw has the same curvature bound, ...
Semiconcave functions in nonproper spaces. Assume that Z is a geodesic space
with one-sided curvature bound, U C Z is an open subset, and / : U — > R is a
semiconcave function. Then the ultraproduct Zw has the same curvature bound, ...
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absolutely continuous algebraic solutions amoebas analytic arbitrary assume asymptotic badly approximable Belyi function Bose gas bounded coefficients coincides compact condition conjugacy classes consider constant convergence convex Corollary correlation functions corresponding curves defined definition deformation denote dessins diagram differential dimension Dirac operator discrete edges eigenvalues element English transl equivalent estimate exists finite matrix functions formula G-cycle geodesic given Goursat problem graph hyperbolic identity implies inequality integral intersection invariant lattice Lemma linear Lipschitz Lipschitz map locally Math Mathematics Subject Classification metric space Newton polygon notation obtain Painleve parameter Phys polygon polynomial problem proof of Theorem Proposition prove quantum R-matrix rational functions relation respectively result right-hand side satisfies selfadjoint sequence sixth Painleve equation spectrum strongly regular graph Subsection subspace Suppose symmetric Theorem 2.1 theory transformation unique variables vector vertex vertices YB equation zero