Affine harmonic maps

Analysis Germany · Ocak 2009

YÖKSİS Kayıtları — ISSN Eşleşmesi

2009 ISSN: 0174-4747 Mathematical Reviews (MathSciNet),Scopus 3 atıf

Prof. Dr. FATMA MUAZZEZ ŞİMŞİR →

Makale Bilgileri

Dergi Analysis Germany

ISSN01744747

Yayın TarihiOcak 2009

Cilt / Sayfa29 · 185-197

DOI10.1524/anly.2009.1050

Scopus ID2-s2.0-85013631824

Özet We introduce a class of maps from an affine flat into a Riemannian manifold that solve an elliptic system defined by the natural second order elliptic operator of the affine structure and the nonlinear Riemannian geometry of the target. These maps are called affine harmonic. We show an existence result for affine harmonic maps in a given homotopy class when the target has nonpositive sectional curvature and some global nontriviality condition is met. An example shows that such a condition is necessary. The analytical part is made difficult by the absence of a variational structure underlying affine harmonic maps. We therefore need to combine estimation techniques from geometric analysis and PDE theory with global geometric considerations. © 2009, by Oldenbourg Wissenschaftsverlag, Leipzig, Germany. All rights reserved.

Scimago Dergi (ISSN Eşleşmesi)

Analysis (Germany)

SJR Skoru0,358

H-Index28

YayıncıWalter de Gruyter GmbH

ÜlkeGermany

Analysis (Q3)

Applied Mathematics (Q3)

Numerical Analysis (Q3)

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