Results 71 to 80 of about 7,358 (157)
Transversal Chern number inequality on Sasaki manifolds. [PDF]
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 ...
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Sasaki-einstein manifolds and volume minimisation [PDF]
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
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Sasaki-Einstein structures and their compactification
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
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Hidden symmetries on toric Sasaki-Einstein spaces
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
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On Geodesics of Tangent Bundle with Fiberwise Deformed Sasaki Metric over Kählerian Manifold
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.
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THE SASAKI JOIN, HAMILTONIAN 2-FORMS, AND CONSTANT SCALAR CURVATURE
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
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Generalized Sasaki Metrics on Tangent Bundles
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
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The Geometry of quasi-Sasaki Manifolds [PDF]
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
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Manifold learning based on straight-like geodesics and local coordinates
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
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KILLING FORMS ON TORIC SASAKI-EINSTEIN SPACES
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
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