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
Extremaleigenschaften von Kreissektoren und Halbkugeln
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
Extrinsic shape of circles and standard imbeddings of projective spaces.
Extrinsic symmetric spaces and orbits of s-representations.
Extrinsic symmetric submanifolds contained in quaternionic symmetric spaces
Extrinsic Upper Bounds for ...1.