Einstein equation for an invariant metric on generalized flag manifolds and inner automorphisms.

Arvanitoyeorgos, A.

Displaying similar documents to “Einstein equation for an invariant metric on generalized flag manifolds and inner automorphisms.”

Homogeneous Einstein metrics on flag manifolds.

Sakane, Y. (1999)

Lobachevskii Journal of Mathematics

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On 3-dimensional generalized $(κ, μ)$ -contact metric manifolds.

Shaikh, A.A., Arslan, K., Murathan, C., Baishya, K.K. (2007)

Balkan Journal of Geometry and its Applications (BJGA)

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Some distortion theorems related to an invariant metric in C²

Stefan Bergman (1967)

Colloquium Mathematicae

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Einstein metrics on a class of five-dimensional homogeneous spaces

Eugene D. Rodionov (1991)

Commentationes Mathematicae Universitatis Carolinae

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We prove that there is exactly one homothety class of invariant Einstein metrics in each space $S U (2) \times S U (2) / S O {(2)}_{r} (r \in Q, | r | \neq 1)$ defined below.

Homogeneous Einstein metrics on Stiefel manifolds

Andreas Arvanitoyeorgos (1996)

Commentationes Mathematicae Universitatis Carolinae

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A Stiefel manifold $V_{k} 𝐑^{n}$ is the set of orthonormal $k$ -frames in $𝐑^{n}$ , and it is diffeomorphic to the homogeneous space $S O (n) / S O (n - k)$ . We study $S O (n)$ -invariant Einstein metrics on this space. We determine when the standard metric on $S O (n) / S O (n - k)$ is Einstein, and we give an explicit solution to the Einstein equation for the space $V_{2} 𝐑^{n}$ .

The Kantorovich metric: the initial history and little-known applications.

Vershik, A.M. (2004)

Zapiski Nauchnykh Seminarov POMI

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Symmetries and Kähler-Einstein metrics

Claudio Arezzo, Alessandro Ghigi (2005)

Bollettino dell'Unione Matematica Italiana

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We consider Fano manifolds $M$ that admit a collection of finite automorphism groups $G_{1}, ..., G_{k}$ , such that the quotients $M / G_{i}$ are smooth Fano manifolds possessing a Kähler-Einstein metric. Under some numerical and smoothness assumptions on the ramification divisors, we prove that $M$ admits a Kähler-Einstein metric too.

Almost Contact B-metric Manifoldsas Extensions of a 2-dimensional Space-form

Hristo M. Manev (2016)

Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica

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The object of investigations are almost contact B-metric manifolds which are derived as a product of a real line and a 2-dimensional manifold equipped with a complex structure and a Norden metric. There are used two different methods for generation of the B-metric on the product manifold. The constructed manifolds are characterised with respect to the Ganchev–Mihova–Gribachev classification and their basic curvature properties.