Exponential mapping for Lie groupoids
Exponential mapping for Lie groupoids. Applications
Extended moduli spaces of flat connections on Riemann surfaces.
Extending Calabi’s conjecture to complete noncompact Kähler manifolds which are asymptotically ,
Extension de métriques riemanniennes et type de croissance
Let be a noncompact differentiable manifold and an open proper submanifold endowed with a complete Riemannian metric . We prove that can be extended all over to a complete Riemannian metric having the same growth-type as .
Extension of Holomorphic Maps into Hermitian Manifolds.
Extension phenomena for holomorphic geometric structures.
Extension Theorems for Reductive Group Actions on Compact Kaehler Manifolds.
Exterior differential systems, Lie algebra cohomology, and the rigidity of homogenous varieties
These are expository notes from the 2008 Srní Winter School. They have two purposes: (1) to give a quick introduction to exterior differential systems (EDS), which is a collection of techniques for determining local existence to systems of partial differential equations, and (2) to give an exposition of recent work (joint with C. Robles) on the study of the Fubini-Griffiths-Harris rigidity of rational homogeneous varieties, which also involves an advance in the EDS technology.
Extremal domains for the first eigenvalue of the Laplace-Beltrami operator
We prove the existence of extremal domains with small prescribed volume for the first eigenvalue of Laplace-Beltrami operator in some Riemannian manifold. These domains are close to geodesic spheres of small radius centered at a nondegenerate critical point of the scalar curvature.
Extremal eigenvalue problems defined on conformal classes of compact Riemannian manifolds.
Extremal Kähler Metrics and Complex Deformation Theory.
Extremal Kähler metrics on blow-ups of parabolic ruled surfaces
New examples of extremal Kähler metrics are given on blow-ups of parabolic ruled surfaces. The method used is based on the gluing construction of Arezzo, Pacard and Singer [5]. This enables to endow ruled surfaces of the form with special parabolic structures such that the associated iterated blow-up admits an extremal metric of non-constant scalar curvature.
Extremal metrics and lower bound of the modified K-energy
We provide a new proof of a result of X.X. Chen and G.Tian [5]: for a polarized extremal Kähler manifold, the minimum of the modified K-energy is attained at an extremal metric. The proof uses an idea of C. Li [16] adapted to the extremal metrics using some weighted balanced metrics.
Extremal properties of logarithmic spirals.
Extremal subspaces in an areal space
Extremalaufgaben für Flächen beschränkter absoluter mittlerer Integralkrümmung im dreidimensionalen Raum konstanter Krümmung
Extremals for the Sobolev inequality on the seven-dimensional quaternionic Heisenberg group and the quaternionic contact Yamabe problem
A complete solution to the quaternionic contact Yamabe problem on the seven-dimensional sphere is given. Extremals for the Sobolev inequality on the seven-dimensional Heisenberg group are explicitly described and the best constant in the L2 Folland–Stein embedding theorem is determined.
Extreme Curves Bound Embedded Minimal Surfaces of the Type of the Disc.
Extrinsic Bounds on ... of ... on a Compact Manifold