St. Petersburg Mathematical Journal, 10. cilt,1-575. sayfalarAmerican Mathematical Society, 1999 |
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16 sonuçtan 1-3 arası sonuçlar
Sayfa 294
... Hadamard space ( X , T ) is not of rank one in the sense of Ballmann - Brin and X is a manifold or a 2 - polyhedron without boundary , then X is isometric to a nontrivial metric product , or is a symmetric space of rank at least two ...
... Hadamard space ( X , T ) is not of rank one in the sense of Ballmann - Brin and X is a manifold or a 2 - polyhedron without boundary , then X is isometric to a nontrivial metric product , or is a symmetric space of rank at least two ...
Sayfa 295
... = r ( B ) . If X is a Hadamard space , then any nonempty bounded set B C X possesses a unique center . This easy follows from ( 1 ) ( see , e.g. , [ Ba ] ) . §2 . THE DIAMETER AND THE RADIUS OF A BOUNDED GEODESICS IN HADAMARD SPACES 295.
... = r ( B ) . If X is a Hadamard space , then any nonempty bounded set B C X possesses a unique center . This easy follows from ( 1 ) ( see , e.g. , [ Ba ] ) . §2 . THE DIAMETER AND THE RADIUS OF A BOUNDED GEODESICS IN HADAMARD SPACES 295.
Sayfa 302
... Hadamard space . Then for any z , z ' Є d∞X , zz ' , there exists a geodesic c : R → X for which c ( ∞ ) = z , c ( -∞ ) = z ' . Proof . Assume that X is 8 - hyperbolic . Let xe X , and let c E z , c'e z ' be unit speed . geodesic ...
... Hadamard space . Then for any z , z ' Є d∞X , zz ' , there exists a geodesic c : R → X for which c ( ∞ ) = z , c ( -∞ ) = z ' . Proof . Assume that X is 8 - hyperbolic . Let xe X , and let c E z , c'e z ' be unit speed . geodesic ...
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A₁ Abelian group anisotropic arbitrary assume asymptotic boundary bounded C*-algebra coefficients compact condition cone conformal map consider constant construction convex Corollary corresponding decompositions defined definition denote dimension domain eigenvalues elements endomorphism English transl entire functions equation equivalent estimate exists exponential type F-algebra field finite formula geodesic Hadamard space harmonic measure Hence Hilbert space homomorphism homotopy II(m implies inequality integral isomorphism isotropic J-unitary k₁ Lemma linear Math Mathematical Mathematics Subject Classification matrices minimum-link module morphism multidegree obtain operator algebra operator space parameters Pfister form Pfister neighbor polynomial problem proof of Theorem properties Proposition proved quadratic form relation representation result satisfies segment sequence solution spectrum strongly stable subgroup Subsection subspace Theorem Theorem 2.1 theory topology unital homomorphism v₁ vector whence