The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Displaying 281 – 300 of 301

Showing per page

Extremal Kähler metrics on blow-ups of parabolic ruled surfaces

Carl Tipler (2013)

Bulletin de la Société Mathématique de France

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 ( 𝒪 L ) 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

Yuji Sano, Carl Tipler (2015)

Journal of the European Mathematical Society

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.

Currently displaying 281 – 300 of 301