### Abstract

We investigate dynamics of membrane with cohomogeneity-one symmetry. The cohomogeneity-one membrane has world surface foliated by two-dimensional orbits of isometry group. We show that the Nambu-Goto equations of motion reduce to geodesic equations in the orbit space. We also clarify the form of the metric provided to the orbit space. The generalization to higher dimensional object with cohomogeneity-one symmetry in higher dimensional spacetime is discussed.

Original language | English |
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Title of host publication | Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 |

Pages | 246-249 |

Number of pages | 4 |

Publication status | Published - 2010 |

Event | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 - Kyoto, Japan Duration: 2010 Sep 21 → 2010 Sep 25 |

### Other

Other | 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010 |
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Country | Japan |

City | Kyoto |

Period | 10/9/21 → 10/9/25 |

### Fingerprint

### ASJC Scopus subject areas

- Atomic and Molecular Physics, and Optics

### Cite this

*Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010*(pp. 246-249)

**Dynamics of membranes with symmetry and projection formalism.** / Kozaki, Hiroshi; Koike, Tatsuhiko; Ishihara, Hideki.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

*Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010.*pp. 246-249, 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010, Kyoto, Japan, 10/9/21.

}

TY - GEN

T1 - Dynamics of membranes with symmetry and projection formalism

AU - Kozaki, Hiroshi

AU - Koike, Tatsuhiko

AU - Ishihara, Hideki

PY - 2010

Y1 - 2010

N2 - We investigate dynamics of membrane with cohomogeneity-one symmetry. The cohomogeneity-one membrane has world surface foliated by two-dimensional orbits of isometry group. We show that the Nambu-Goto equations of motion reduce to geodesic equations in the orbit space. We also clarify the form of the metric provided to the orbit space. The generalization to higher dimensional object with cohomogeneity-one symmetry in higher dimensional spacetime is discussed.

AB - We investigate dynamics of membrane with cohomogeneity-one symmetry. The cohomogeneity-one membrane has world surface foliated by two-dimensional orbits of isometry group. We show that the Nambu-Goto equations of motion reduce to geodesic equations in the orbit space. We also clarify the form of the metric provided to the orbit space. The generalization to higher dimensional object with cohomogeneity-one symmetry in higher dimensional spacetime is discussed.

UR - http://www.scopus.com/inward/record.url?scp=84887478789&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84887478789&partnerID=8YFLogxK

M3 - Conference contribution

AN - SCOPUS:84887478789

SP - 246

EP - 249

BT - Proceedings of the 20th Workshop on General Relativity and Gravitation in Japan, JGRG 2010

ER -