25 citations · 78 across the 17 of their papers we have counts for
18 papers
Non naturally reductive Einstein metrics on $\SU(N)$ via generalized flag manifolds
Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha
We obtain new invariant Einstein metrics on the compact Lie group $\SU(N)$ which are not naturally reductive. This is achieved by using the generalized flag manifold $G/K=\SU(k_1+\…
Non naturally reductive Einstein metrics on the orthogonal group via real flag manifolds
Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha
We obtain new invariant Einstein metrics on the compact Lie groups $\SO(n)$ which are not naturally reductive. This is achieved by using the real flag manifolds $\SO(k_1+\cdots +k_…
Invariant Einstein metrics on SU(N) and complex Stiefel manifolds
Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha
We study existence of invariant Einstein metrics on complex Stiefel manifolds $G/K = \SU(\ell+m+n)/\SU(n) $ and the special unitary groups $G = \SU(\ell+m+n)$. We decompose the Lie…
Homogeneous Einstein metrics on non-Kähler C-spaces
Ioannis Chrysikos, Yusuke Sakane
We study homogeneous Einstein metrics on indecomposable non-Kählerian C-spaces, i.e. even-dimensional torus bundles with over flag manifol…
Homogeneous Einstein metrics on Stiefel manifolds associated to flag manifolds with two isotropy summands
Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha
We study invariant Einstein metrics on the Stiefel manifold of all orthonormal -frames in . The isotropy rep…
New homogeneous Einstein metrics on quaternionic Stiefel manifolds
Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha
We consider invariant Einstein metrics on the quaternionic Stiefel manifolds of all orthonormal -frames in . This manifold is diffeomorphic to t…
New Einstein metrics on the Lie group which are not naturally reductive
Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha
We obtain new invariant Einstein metrics on the compact Lie groups () which are not naturally reductive. This is achieved by imposing certain symmetry assumptions…
Non-naturally reductive Einstein metrics on exceptional Lie groups
Ioannis Chrysikos, Yusuke Sakane
Given an exceptional compact simple Lie group we describe new left-invariant Einstein metrics which are not naturally reductive. In particular, we consider fibrations of ov…
New homogeneous Einstein metrics on Stiefel manifolds
Andreas Arvanitoyeorgos, Yusuke Sakane, Marina Statha
We consider invariant Einstein metrics on the Stiefel manifold $V_q\bb{R} ^n$ of all orthonormal -frames in $\bb{R}^n$. This manifold is diffeomorphic to the homogeneous space $…
Homogeneous Einstein metrics on generalized flag manifolds with five isotropy summands
Andreas Arvanitoyeorgos, Ioannis Chrysikos, Yusuke Sakane
We construct the homogeneous Einstein equation for generalized flag manifolds of a compact simple Lie group whose isotropy representation decomposes into five inequivalen…
The classification of homogeneous Einstein metrics on flag manifolds with
Ioannis Chrysikos, Yusuke Sakane
Let be a simple compact connected Lie group. We study homogeneous Einstein metrics for a class of compact homogeneous spaces, namely generalized flag manifolds with secon…
A Muntz Type Theorem for a Family of Corner Cutting Schemes
Rachid Ait-Haddou, Yusuke Sakane, Taishin Nomura
By identifying a family of corner cutting schemes as a dimension elevation process of Gelfond-Bezier curves, we give a Muntz type condition for the convergence of the generated con…
Gelfond-Bezier Curves
Rachid Ait-Haddou, Yusuke Sakane, Taishin Nomura
We show that the generalized Bernstein bases in Muntz spaces defined by Hirschman and Widder [7] and extended by Gelfond [6] can be obtained as limits of the Chebyshev-Bernstein ba…
Chebyshev Blossom in Muntz Spaces: Toward Shaping with Young Diagrams
Rachid Ait-Haddou, Yusuke Sakane, Taishin Nomura
The notion of blossom in extended Chebyshev spaces offers adequate generalizations and extra-utilities to the tools for free-form design schemes. Unfortunately, such advantages are…
Homogeneous Einstein metrics on the generalized flag manifold Sp(n)/(U(p) x U(n-p))
Andreas Arvanitoyeorgos, Ioannis Chrysikos, Yusuke Sakane
We find the precise number of non-Kähler -invariant Einstein metrics on the generalized flag manifold with and . We…
Homogeneous Einstein metrics on G_2/T
Andreas Arvanitoyeorgos, Ioannis Chrysikos, Yusuke Sakane
We construct the Einstein equation for an invariant Riemannian metric on the exceptional full flag manifold . By computing a Gröbner basis for a system of polynomials of m…
Complete description of invariant Einstein metrics on the generalized flag manifold
Andreas Arvanitoyeorgos, Ioannis Chrysikos, Yusuke Sakane
We find the precise number of non-Kähler -invariant Einstein metrics on the generalized flag manifold with and . We…
Einstein metrics on compact Lie groups which are not naturally reductive
Andreas Arvanitoyeorgos, Kunihiko Mori, Yusuke Sakane
The study of left-invariant Einstein metrics on compact Lie groups which are naturally reductive was initiated by J. E. D'Atri and W. Ziller in 1979. In 1996 the second author obta…