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17 sonuçtan 1-3 arası sonuçlar
Sayfa 343
... the geodesic flow transformation is well defined almost everywhere on SM ,
and it is known that the Liouville measure is ... quotient space M / T , where M is
the universal covering space of M and I is a deck transformation group
isomorphic to ...
... the geodesic flow transformation is well defined almost everywhere on SM ,
and it is known that the Liouville measure is ... quotient space M / T , where M is
the universal covering space of M and I is a deck transformation group
isomorphic to ...
Sayfa 401
... mappings of manifolds , at present there exists neither a theory of harmonic
diffeomorphisms , nor a definition of infinitesimal harmonic transformation of a
Riemannian manifold , to say nothing of the theory of groups of such
transformations .
... mappings of manifolds , at present there exists neither a theory of harmonic
diffeomorphisms , nor a definition of infinitesimal harmonic transformation of a
Riemannian manifold , to say nothing of the theory of groups of such
transformations .
Sayfa 410
A vector field & is an infinitesimal harmonic transformation in ( M , g ) if the local
one - parameter group of infinitesimal transformations generated by Ę in a
neighborhood of any point of ( M , g ) consists of infinitesimal harmonic
transformations .
A vector field & is an infinitesimal harmonic transformation in ( M , g ) if the local
one - parameter group of infinitesimal transformations generated by Ę in a
neighborhood of any point of ( M , g ) consists of infinitesimal harmonic
transformations .
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İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL loSPACES | 23 |
Dedicated to M Sh Birman on the occasion of his 75th birthday | 285 |
ABSTRACT The nonexistence of isometric embeddings em line with p q is proved | 296 |
Telif Hakkı | |
4 diğer bölüm gösterilmiyor
Diğer baskılar - Tümünü görüntüle
Sık kullanılan terimler ve kelime öbekleri
analytic apply approximation assume asymptotic belongs BKN-equation block boundary bounded called closed coefficients collection compatible complete components condition Consequently consider constant construction contains continuous corresponding covering defined definition denote differential domain edge eigenvalues embedding English equal equation estimate example exists extension fact fibers field finite fixed formula function given graph harmonic identity implies inequality integral introduce invertible Lemma linear manifold Math Mathematical matrix monodromy Moreover norm obtain operator oriented pair particular periodic polynomial positive potential present problem proof properties Proposition prove rational relation Remark representation respect result satisfies selfadjoint separation singular smooth solution space spectral spectrum statement Subsection sufficiently Suppose surface symmetric Theorem theory transformation transl true unique values vector vertex vertices zero