Harmonic cellular maps which are not diffeomorphisms
نویسندگان
چکیده
منابع مشابه
N ov 2 00 3 Harmonic Cellular Maps which are not Diffeomorphisms
The use of harmonic maps has been spectacularly successful in proving rigidity (and superrigidity) results for non-positively curved Riemannian manifolds. This is witnessed for example by results of Sui [31], Sampson [26], Corlette [6], Gromov and Schoen [18], Jost and Yau [22], and Mok, Sui and Yeung [23]. All of which are based on the pioneering existence theorem of Eells and Sampson [13] and...
متن کاملHarmonic diffeomorphisms, minimizing harmonic maps and rotational symmetry
© Foundation Compositio Mathematica, 1989, tous droits réservés. L’accès aux archives de la revue « Compositio Mathematica » (http: //http://www.compositio.nl/) implique l’accord avec les conditions générales d’utilisation (http://www.numdam.org/legal.php). Toute utilisation commerciale ou impression systématique est constitutive d’une infraction pénale. Toute copie ou impression de ce fichier ...
متن کاملAspherical Products Which do not Support Anosov Diffeomorphisms
We show that the product of infranilmanifolds with certain aspherical closed manifolds do not support Anosov diffeomorphisms. As a special case, we obtain that products of a nilmanifold and negatively curved manifolds of dimension at least 3 do not support Anosov diffeomorphisms. Mathematics Subject Classification. Primary 37D20; Secondary 55R10, 57R19, 37C25.
متن کاملWhy Maps Are Not Propositional ∗
Why Maps Are Not Propositional∗ A number of philosophers and logicians have argued for the conclusion that maps are logically tractable modes of representation by analyzing them in propositional terms. But in doing so, they have often left what they mean by ‘propositional’ undefined or unjustified. I argue that propositions are characterized by a structure that is digital, universal, asymmetric...
متن کاملRotationally Symmetric Harmonic Diffeomorphisms between Surfaces
and Applied Analysis 3 We will prove this theorem by contradiction. The idea is similar to the proof of Theorem 1. Suppose ψ is a rotationally symmetric harmonic diffeomorphism from P(a) onto D∗ with the metric σ 2 d|u|, with the form ψ = g(r)e, then substituting ψ, σ 2 to u, σ in (2), respectively, we can get
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: Inventiones mathematicae
سال: 2004
ISSN: 0020-9910,1432-1297
DOI: 10.1007/s00222-004-0377-0