Titlebook: Geometry of Harmonic Maps; Yuanlong Xin Book 1996 Birkh?user Boston 1996 Boundary value problem.Geometry.Maps.Minkowski space.cls.manifold

贊美

書目名稱Geometry of Harmonic Maps影響因子(影響力)




書目名稱Geometry of Harmonic Maps影響因子(影響力)學科排名




書目名稱Geometry of Harmonic Maps網絡公開度




書目名稱Geometry of Harmonic Maps網絡公開度學科排名




書目名稱Geometry of Harmonic Maps被引頻次




書目名稱Geometry of Harmonic Maps被引頻次學科排名




書目名稱Geometry of Harmonic Maps年度引用




書目名稱Geometry of Harmonic Maps年度引用學科排名




書目名稱Geometry of Harmonic Maps讀者反饋




書目名稱Geometry of Harmonic Maps讀者反饋學科排名

反應

Equivariant Harmonic Maps,has been successfully utilized in [Sm2], [P-R], [D1], [E-R1] [Ur], [X13], [X14] and [X15]. Recently, in their monograph [E-R2] Eells-Ratto emphasize the ODE method to the elliptic variational problems. The present chapter is also devoted to the equivariant harmonic maps. Besides single ODE, the redu

柔美流暢

Progress in Nonlinear Differential Equations and Their Applications383808.jpg

adhesive

1421-1750 nergy density and the second varia- tional formula. This chapter serves not only as a basis for the later chapters, but also as a brief introduction to the theo978-1-4612-8644-8978-1-4612-4084-6Series ISSN 1421-1750 Series E-ISSN 2374-0280

不來

Book 1996and interesting examples are presented. Various important properties and formulas are derived. Among them are Bochner-type formula for the energy density and the second varia- tional formula. This chapter serves not only as a basis for the later chapters, but also as a brief introduction to the theo

出處

出處

Proponent

Harmonic maps and gauss maps,n define a generalized Gauss map. In many cases properties of submanifolds are characterized by their Gauss maps and closely link with the theory of harmonic maps. We now present some results in this direction.

共同給與

Existence, Nonexistence and Regularity,can be proved by several methods, such as the perturbation method due to K. Uhlenbeck [U]. In this chapter we discuss existence for harmonic maps by the direct method of the calculus of variations. The key point of the method is regularity. Partial regularity of the minimizing maps has been obtained

令人苦惱

Equivariant Harmonic Maps,ld solve PDE’s on certain manifolds. In the case when the sectional curvature of the target manifold is nonpositive or the image of the map is contained in a geodesic convex neighborhood, such a problem has been solved in [E-S], [H-K-W] and [S-U1] by PDE method. But, for maps into positively curved