Results 71 to 80 of about 7,358 (157)

Transversal Chern number inequality on Sasaki manifolds. [PDF]

open access: yes, 2010
Ma, Chit.Thesis (M.Phil.)--Chinese University of Hong Kong, 2010.Includes bibliographical references (leaves 61-63).Abstracts in English and Chinese.Chapter 1 --- Introduction --- p.6Chapter 2 --- Sasaki Geometry --- p.8Chapter 2.1 --- Sasakian ...

core  

Sasaki-einstein manifolds and volume minimisation [PDF]

open access: yes, 2008
We study a variational problem whose critical point determines the Reeb vector field for a Sasaki-Einstein manifold. This extends our previous work on Sasakian geometry by lifting the condition that the manifolds are toric.
Dario Martelli   +9 more
core   +1 more source

Sasaki-Einstein structures and their compactification

open access: yes, 2019
Sasaki geometry is often viewed as an odd dimensional analogue of Kaehler geometry. In particular a Riemannian or pseudo-Riemannian manifold is Sasakian if its standard metric cone is Kaehler or, respectively, pseudo-Kaehler.
Gover, Rod
core  

Hidden symmetries on toric Sasaki-Einstein spaces

open access: yes, 2015
We describe the construction of Killing-Yano tensors on toric Sasaki-Einstein manifolds. We use the fact that the metric cones of these spaces are Calabi-Yau manifolds. The description of the Calabi-Yau manifolds in terms of toric data, using the Delzant
M. Visinescu, G. E. Vîlcu, V. Slesar
core   +1 more source

On Geodesics of Tangent Bundle with Fiberwise Deformed Sasaki Metric over Kählerian Manifold

open access: yes, 2012
We propose a fiber-wise deformation of the Sasaki metric on slashed and unit tangent bundles over the Kalerian manifold based on the Berger deformation of metric on a unit sphere.
Yampolsky, A.
core   +1 more source

THE SASAKI JOIN, HAMILTONIAN 2-FORMS, AND CONSTANT SCALAR CURVATURE

open access: yes, 2015
We describe a general procedure for constructing new Sasaki metrics of constant scalar curvature (CSC) from old ones. Explicitly, we begin with a regular Sasaki metric of constant scalar curvature on a 2n + 1-dimensional compact manifold M and con-struct
Christina W. Tønnesen-Friedman   +1 more
core  

Generalized Sasaki Metrics on Tangent Bundles

open access: yes, 2015
We define a class of metrics that extend the Sasaki metric of the tangent manifold of a Riemannian manifold. The new metrics are obtained by the transfer of the generalized (pseudo-)Riemannian metrics of the pullback bundle π−1(TM⊕T*M), where π : T M → M
Izu Vaisman
core   +1 more source

The Geometry of quasi-Sasaki Manifolds [PDF]

open access: yes, 2016
Let (M,g) be a quasi-Sasaki manifold with Reeb vector field xi. Our goal is to understand the structure of M when g is an Einstein metric. Assuming that the S^1 action induced by xi is locally free or assuming a certain non-negativity condition on the ...
Welly, Adam
core  

Manifold learning based on straight-like geodesics and local coordinates

open access: yes, 2020
In this article, a manifold learning algorithm based on straight-like geodesics and local coordinates is proposed, called SGLC-ML for short. The contribution and innovation of SGLC-ML lie in that; first, SGLC-ML divides the manifold data into a number of
Zhan, Zengrong   +3 more
core   +1 more source

KILLING FORMS ON TORIC SASAKI-EINSTEIN SPACES

open access: yes, 2015
We summarize recent results on the construction of Killing forms on Sasaki-Einstein manifolds. The complete set of special Killing forms of the Sasaki-Einstein spaces are presented.
Visinescu, Mihai
core  

Home - About - Disclaimer - Privacy