Results 11 to 20 of about 1,451 (107)

K\"ahler immersions of K\"ahler manifolds into complex space forms [PDF]

, 2017
The study of K\"ahler immersions of a given real analytic K\"ahler manifold into a finite or infinite dimensional complex space form originates from the pioneering work of Eugenio Calabi [10].
Loi, Andrea, Zedda, Michela
core   +2 more sources

Hidden Symmetries of Euclideanised Kerr-NUT-(A)dS Metrics in Certain Scaling Limits [PDF]

, 2012
The hidden symmetries of higher dimensional Kerr-NUT-(A)dS metrics are investigated. In certain scaling limits these metrics are related to the Einstein-Sasaki ones.
Vilcu, Gabriel Eduard, Visinescu, Mihai
core   +3 more sources

Stability and instability of Ricci solitons [PDF]

, 2014
We consider the volume-normalized Ricci flow close to compact shrinking Ricci solitons. We show that if a compact Ricci soliton $(M,g)$ is a local maximum of Perelman's shrinker entropy, any normalized Ricci flow starting close to it exists for all time ...
Kroencke, Klaus
core   +1 more source

Convergence of the weak K\"ahler-Ricci Flow on manifolds of general type

, 2019
We study the K\"ahler-Ricci flow on compact K\"ahler manifolds whose canonical bundle is big. We show that the normalized K\"ahler-Ricci flow has long time existence in the viscosity sense, is continuous in a Zariski open set, and converges to the unique
Tô, Tat Dat
core   +1 more source

Ricci magnetic geodesic motion of vortices and lumps [PDF]

, 2015
Ricci magnetic geodesic (RMG) motion in a kähler manifold is the analogue of geodesic motion in the presence of a magnetic field proportional to the ricci form.
Alqahtani, LS, Speight, JM
core   +1 more source

Collapsing immortal Kähler-Ricci flows

Forum of Mathematics, Pi
We consider the Kähler-Ricci flow on compact Kähler manifolds with semiample canonical bundle and intermediate Kodaira dimension, and show that the flow collapses to a canonical metric on the base of the Iitaka fibration in the locally smooth topology ...
Hans-Joachim Hein, Man-Chun Lee, Valentino Tosatti   +2 more
doaj   +1 more source

Almost Kaehler Ricci Flows and Einstein and Lagrange-Finsler Structures on Lie Algebroids

, 2013
In this work we investigate Ricci flows of almost Kaehler structures on Lie algebroids when the fundamental geometric objects are completely determined by (semi) Riemannian metrics, or effective) regular generating Lagrange/ Finsler, functions. There are
Vacaru, Sergiu I.
core   +1 more source

Continuity Equation of Transverse Kähler Metrics on Sasakian Manifolds

Mathematics
We introduce the continuity equation of transverse Kähler metrics on Sasakian manifolds and establish its interval of maximal existence. When the first basic Chern class is null (resp. negative), we prove that the solution of the (resp.
Yushuang Fan, Tao Zheng
doaj   +1 more source

Instantons on conical half-flat 6-manifolds [PDF]

, 2015
We present a general procedure to construct 6-dimensional manifolds with SU(3)-structure from SU(2)-structure 5-manifolds. We thereby obtain half-flat cylinders and sine-cones over 5-manifolds with Sasaki-Einstein SU(2)-structure.
Bunk, Severin, Lechtenfeld, Olaf, Popov, Alexander D., Sperling, Marcus   +3 more
core   +3 more sources

Pluricomplex Green's functions and Fano manifolds

, 2019
We show that if a Fano manifold does not admit Kahler-Einstein metrics then the Kahler potentials along the continuity method subconverge to a function with analytic singularities along a subvariety which solves the homogeneous complex Monge-Ampere ...
McCleerey, Nicholas, Tosatti, Valentino
core   +1 more source