Estimates for Invariant Metrics Near Non-semipositive Boundary Points
نویسندگان
چکیده
منابع مشابه
Estimates of Invariant Metrics on Pseudoconvex Domains near Boundaries with Constant Levi Ranks
Estimates of the Bergman kernel and the Bergman and Kobayashi metrics on pseudoconvex domains near boundaries with constant Levi ranks are given. Mathematics Subject Classification (2000): 32F45; 32T27.
متن کاملInvariant manifolds near hyperbolic fixed points
In these notes we discuss obstructions to the existence of local invariant manifolds in some smoothness class, near hyperbolic fixed points of diffeomorphisms. We present an elementary construction for continuously differentiable invariant manifolds, that are not necessarily normally hyperbolic, near attracting fixed points. The analogous theory for invariant manifolds near hyperbolic equilbria...
متن کاملOn projectively equivalent metrics near points of bifurcation
Let Riemannian metrics g and ḡ on a connected manifold Mn have the same geodesics (considered as unparameterized curves). Suppose the eigenvalues of one metric with respect to the other are all different at a point. Then, by the famous Levi-Civita’s Theorem, the metrics have a certain standard form near the point. Our main result is a generalization of Levi-Civita’s Theorem for the points where...
متن کاملNon-trapping Estimates near Normally Hyperbolic Trapping
In this paper we prove semiclassical resolvent estimates for operators with normally hyperbolic trapping which are lossless relative to nontrapping estimates but take place in weaker function spaces. In particular, we obtain non-trapping estimates in standard L2 spaces for the resolvent sandwiched between operators which localize away from the trapped set Γ in a rather weak sense, namely whose ...
متن کاملLocal inverse estimates for non-local boundary integral operators
We prove local inverse-type estimates for the four non-local boundary integral operators associated with the Laplace operator on a bounded Lipschitz domain Ω in R for d ≥ 2 with piecewise smooth boundary. For piecewise polynomial ansatz spaces and d ∈ {2, 3}, the inverse estimates are explicit in both the local mesh width and the approximation order. An application to efficiency estimates in a ...
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: Journal of Geometric Analysis
سال: 2011
ISSN: 1050-6926,1559-002X
DOI: 10.1007/s12220-011-9255-3