منابع مشابه
Deforming a Map into a Harmonic Map
Let X be a complete noncompact Riemannian manifold with Ricci curvature and Sobolev radius (see §6 for the definition) bounded from below and Y a complete Riemannian manifold with nonpositive sectional curvature. We shall study some situations where a smooth map f : X → Y can be deformed continuously into a harmonic map, using a naturally defined flow. The flow used here is not the usual harmon...
متن کاملDeforming the hippocampal map.
To investigate conjoint stimulus control over place cells, Fenton et al. (J Gen Physiol 116:191-209, 2000a) recorded while rats foraged in a cylinder with 45 degrees black and white cue cards on the wall. Card centers were 135 degrees apart. In probe trials, the cards were rotated together or apart by 25 degrees . Firing field centers shifted during these trials, stretching and shrinking the co...
متن کاملA Semiregularity Map Annihilating Obstructions to Deforming Holomorphic Maps
We study deformations of holomorphic maps of compact, complex, Kähler manifolds. In particular, we describe a generalization of Bloch’s semiregularity map that annihilates obstructions to deform holomorphic maps with fixed codomain.
متن کاملGRADIENT ESTIMATION OF A p-HARMONIC MAP
This article presents Lp estimates for the gradient of p-harmonic maps. Since the system satisfies a natural growth condition, it is difficult to use standard elliptic estimates. We use spherical coordinates to convert the system into another system with angle functions. The new system can be estimate by the standard elliptic technique. 1. Results Let G ⊂ R (n ∈ {2, 3}) be a bounded and simply ...
متن کاملTeichmüller harmonic map flow into nonpositively curved targets
The Teichmüller harmonic map flow deforms both a map from an oriented closed surface M into an arbitrary closed Riemannian manifold, and a constant curvature metric on M , so as to reduce the energy of the map as quickly as possible [16]. The flow then tries to converge to a branched minimal immersion when it can [16, 18]. The only thing that can stop the flow is a finite-time degeneration of t...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1999
ISSN: 0002-9947,1088-6850
DOI: 10.1090/s0002-9947-99-02402-2