St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
36 sonuçtan 1-3 arası sonuçlar
Sayfa 343
... transformation is well defined almost everywhere on SM , and it is known that the Liouville measure is invariant with respect to this transformation ( see [ L1 ] ) . We recall that M is isometric to the quotient space M / T , where M is ...
... transformation is well defined almost everywhere on SM , and it is known that the Liouville measure is invariant with respect to this transformation ( see [ L1 ] ) . We recall that M is isometric to the quotient space M / T , where M is ...
Sayfa 401
... transformation of a Riemannian manifold , to say nothing of the theory of groups of such transformations . In the paper , this gap is partially filled , and a new subject of investigations is announced . §0 . INTRODUCTION The theory of ...
... transformation of a Riemannian manifold , to say nothing of the theory of groups of such transformations . In the paper , this gap is partially filled , and a new subject of investigations is announced . §0 . INTRODUCTION The theory of ...
Sayfa 410
... transformation " . j = 1 k = 0 , whence the term " infinitesimal harmonic 3.2 . Examples of infinitesimal harmonic transformations . 3.2.1 . Our first example is an infinitesimal conformal transformation in ( M , g ) , i.e. , a vector ...
... transformation " . j = 1 k = 0 , whence the term " infinitesimal harmonic 3.2 . Examples of infinitesimal harmonic transformations . 3.2.1 . Our first example is an infinitesimal conformal transformation in ( M , g ) , i.e. , a vector ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL SPACES | 17 |
CONTENTS | 27 |
1 Introduction | 117 |
Telif Hakkı | |
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analytic apply approximation assume asymptotic belongs BKN-equation block boundary bounded called closed coefficients compatible complete components condition Consequently consider constant construction contains continuous corresponding covering defined definition denote differential domain edge eigenvalues embedding equal equation estimate example exists extension fact fibers field finite fixed formula function given graph harmonic implies inequality integral 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 transl true unique values vector vertex vertices zero