St. Petersburg Mathematical Journal, 16. ciltAmerican Mathematical Society, 2005 |
Kitabın içinden
24 sonuçtan 1-3 arası sonuçlar
Sayfa 401
... HARMONIC DIFFEOMORPHISMS OF MANIFOLDS S. E. STEPANOV AND I. G. SHANDRA ABSTRACT . In spite of the abundance of publications on harmonic mappings of man- ifolds , at present there exists neither a theory of harmonic diffeomorphisms , nor ...
... HARMONIC DIFFEOMORPHISMS OF MANIFOLDS S. E. STEPANOV AND I. G. SHANDRA ABSTRACT . In spite of the abundance of publications on harmonic mappings of man- ifolds , at present there exists neither a theory of harmonic diffeomorphisms , nor ...
Sayfa 403
... harmonic if and ▾ only if the deformation tensor T = ▽ ▽ of ▽ under the mapping f is a section of the tensor vector bundle TM & SZM . - 1.2 . Examples of harmonic diffeomorphisms f : ( M , g ) g - ( M , g ) . 1.2.1 . Conformal ...
... harmonic if and ▾ only if the deformation tensor T = ▽ ▽ of ▽ under the mapping f is a section of the tensor vector bundle TM & SZM . - 1.2 . Examples of harmonic diffeomorphisms f : ( M , g ) g - ( M , g ) . 1.2.1 . Conformal ...
Sayfa 410
... harmonic transformations . Applying formulas ( 3.1 ) , we see that έ is an infinitesimal harmonic transformation if satisfies the equations ( 3.3 ) g ' ( Lerk ) = 0 . Theorem 3.1 . A vector field & Є CTM is an infinitesimal harmonic ...
... harmonic transformations . Applying formulas ( 3.1 ) , we see that έ is an infinitesimal harmonic transformation if satisfies the equations ( 3.3 ) g ' ( Lerk ) = 0 . Theorem 3.1 . A vector field & Є CTM is an infinitesimal harmonic ...
İçindekiler
ISOMETRIC EMBEDDINGS OF FINITEDIMENSIONAL SPACES | 17 |
CONTENTS | 27 |
1 Introduction | 117 |
Telif Hakkı | |
5 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 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