TY - GEN
T1 - On the Hamiltonian minimality of normal bundles
AU - Kajigaya, Toru
N1 - Funding Information:
The author would like to express his sincere thanks to Profs. Young Jin Suh, Jürgen Berndt, Yoshihiro Ohnita and Byung Hak Kim for inviting me to “Conference on real and complex submanifolds”. He was partially supported by Grant-in-Aid for JSPS Fellows.
Publisher Copyright:
© Springer Japan 2014.
PY - 2014
Y1 - 2014
N2 - A Hamiltonian minimal (shortly, H-minimal) Lagrangian submanifold in a Kähler manifold is a critical point of the volume functional under all compactly supported Hamiltonian deformations.We show that any normal bundle of a principal orbit of the adjoint representation of a compact simple Lie group G in the Lie algebra g of G is an H-minimal Lagrangian submanifold in the tangent bundle T g which is naturally regarded as Cm. Moreover, we specify these orbits with this property in the class of full irreducible isoparametric submanifolds in the Euclidean space.
AB - A Hamiltonian minimal (shortly, H-minimal) Lagrangian submanifold in a Kähler manifold is a critical point of the volume functional under all compactly supported Hamiltonian deformations.We show that any normal bundle of a principal orbit of the adjoint representation of a compact simple Lie group G in the Lie algebra g of G is an H-minimal Lagrangian submanifold in the tangent bundle T g which is naturally regarded as Cm. Moreover, we specify these orbits with this property in the class of full irreducible isoparametric submanifolds in the Euclidean space.
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U2 - 10.1007/978-4-431-55215-4_43
DO - 10.1007/978-4-431-55215-4_43
M3 - Conference contribution
AN - SCOPUS:84927630417
T3 - Springer Proceedings in Mathematics and Statistics
SP - 485
EP - 496
BT - Real and Complex Submanifolds
A2 - Lee, Hyunjin
A2 - Berndt, Jürgen
A2 - Ohnita, Yoshihiro
A2 - Kim, Byung Hak
A2 - Suh, Young Jin
PB - Springer New York LLC
T2 - Satellite Conference on Real and Complex Submanifolds ICM 2014 with 18th International Workshop on Differential Geometry
Y2 - 10 August 2014 through 12 August 2014
ER -