3 citations · 6 across the 13 of their papers we have counts for
15 papers
Cohomogeneity one Hermann actions and backward mean curvature flows
Kurando Baba, Naoyuki Koike
Principal orbits of cohomogeneity one Hermann actions form a natural class of equifocal hypersurfaces in symmetric spaces of compact type. Based on Kollross's classification of coh…
The intersection of two real flag manifolds in a complex flag manifold, and the canonical form of a compact symmetric triad
Kurando Baba, Osamu Ikawa, Shinji Ohno
The necessary and sufficient conditions for the intersection of two real flag manifolds in a complex flag manifold to be discrete are stated including a previous known result. The…
Equifocal hypersurfaces in symmetric spaces of compact type and backward mean curvature flows
Kurando Baba, Naoyuki Koike
We first derive a formula for the mean curvature and the squared norm of the shape operator of equifocal hypersurfaces in simply-connected irreducible symmetric spaces of compact t…
Moduli spaces of contact instantons on Sasakian 5-manifolds with transverse Calabi-Yau structures and orbifold K3 surfaces
Tomohiro Arai, Kurando Baba
We study anti-self-dual contact instantons on 5-dimensional Sasakian manifolds with transverse Calabi-Yau structures. In this case, the leaf space is a Calabi-Yau orbifold, and the…
Compact symmetric triads and symmetric triads with multiplicities
Kurando Baba, Osamu Ikawa
In this paper, we develop the theory of symmetric triads with multiplicities. First, we classify abstract symmetric triads with multiplicities. Second, we determine the symmetric t…
Construction of special Lagrangian submanifolds of the Taub-NUT manifold and the Atiyah-Hitchin manifold
Masato Arai, Kurando Baba
We construct special Lagrangian submanifolds of the Taub-NUT manifold and the Atiyah-Hitchin manifold by combining the generalized Legendre transform approach and the moment map te…
A Simons type condition for instability of -Yang-Mills connections
Kurando Baba, Kazuto Shintani
-Yang-Mills connections are critical points of -Yang Mills functional on the space of connections of a principal fiber bundle, which is a generalization of Yang-Mills connect…
Revisiting Atiyah-Hitchin manifold in the generalized Legendre transform
Masato Arai, Kurando Baba, Radu A. Ionas
We revisit construction of the Atiyah-Hitchin manifold in the generalized Legendre transform approach. This is originally studied by Ivanov and Rocek and is subsequently investigat…
Double Satake diagrams and canonical forms in compact symmetric triads
Kurando Baba, Osamu Ikawa
In this paper, we first introduce the notion of double Satake diagrams for compact symmetric triads. In terms of this notion, we give an alternative proof for the classification th…
Calabi-Yau structure and Bargmann type transformation on the Cayley projective plane
Kurando Baba, Kenro Furutani
Our purpose is to show the existence of a Calabi-Yau structure on the punctured cotangent bundle of the Cayley projective plane and to…
A duality between non-compact semisimple symmetric pairs and commutative compact semisimple symmetric triads and its general theory
Kurando Baba, Osamu Ikawa, Atsumu Sasaki
The present paper investigates a natural generalization of the duality between Riemannian symmetric pairs of compact type and those of non-compact type à la É. Cartan. The main res…
Special Lagrangian submanifolds and cohomogeneity one actions on the complex projective space
Masato Arai, Kurando Baba
We construct examples of cohomogeneity one special Lagrangian submanifolds in the cotangent bundle over the complex projective space, whose Calabi-Yau structure was given by Stenze…
Examples of austere orbits of the isotropy representations for semisimple pseudo-Riemannian symmetric spaces
Kurando Baba
Harvey-Lawson and Anciaux introduced the notion of austere submanifolds in pseudo-Riemannian geometry. We give an equivalent condition for an orbit of the isotropy representations…
Supersymmetry and Cotangent Bundle over Non-compact Exceptional Hermitian Symmetric Space
Masato Arai, Kurando Baba
We construct N=2 supersymmetric nonlinear sigma models on the cotangent bundles over the non-compact exceptional Hermitian symmetric spaces M=E_{6(-14)}/SO(10)xU(1) and E_{7(-25)}/…
Local orbit types of the isotropy representations for semisimple pseudo-Riemannian symmetric spaces
Kurando Baba
We list up all the possible local orbit types of hyperbolic or elliptic orbits for the isotropy representations of semisimple pseudo-Riemannian symmetric spaces. It is key to give…