The extra dimensions of the eleven-dimensional simple supergravity are ricci-flat if they are compact

Ming Quey Chen; De Ching Chern; Rue Ron Hsu; Wai Bong Yeung

doi:10.1007/BF02747268

The extra dimensions of the eleven-dimensional simple supergravity are ricci-flat if they are compact

Ming Quey Chen, De Ching Chern, Rue Ron Hsu, Wai Bong Yeung

Department of Physics

Research output: Contribution to journal › Article › peer-review

Abstract

By using the de Rham-Yano-Bochner lemma on harmonic tensor fields in a compact orientable manifold, we show that the extra dimensions in eleven-dimensional simple supergravity will he Ricci-flat if they are compact.

Original language	English
Pages (from-to)	170-172
Number of pages	3
Journal	Lettere al Nuovo Cimento Series 2
Volume	41
Issue number	6
DOIs	https://doi.org/10.1007/BF02747268
Publication status	Published - 1984 Oct 1

All Science Journal Classification (ASJC) codes

Physics and Astronomy(all)

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10.1007/BF02747268

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title = "The extra dimensions of the eleven-dimensional simple supergravity are ricci-flat if they are compact",

abstract = "By using the de Rham-Yano-Bochner lemma on harmonic tensor fields in a compact orientable manifold, we show that the extra dimensions in eleven-dimensional simple supergravity will he Ricci-flat if they are compact.",

author = "Chen, {Ming Quey} and Chern, {De Ching} and Hsu, {Rue Ron} and Yeung, {Wai Bong}",

year = "1984",

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doi = "10.1007/BF02747268",

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AU - Chen, Ming Quey

AU - Chern, De Ching

AU - Hsu, Rue Ron

AU - Yeung, Wai Bong

PY - 1984/10/1

Y1 - 1984/10/1

N2 - By using the de Rham-Yano-Bochner lemma on harmonic tensor fields in a compact orientable manifold, we show that the extra dimensions in eleven-dimensional simple supergravity will he Ricci-flat if they are compact.

AB - By using the de Rham-Yano-Bochner lemma on harmonic tensor fields in a compact orientable manifold, we show that the extra dimensions in eleven-dimensional simple supergravity will he Ricci-flat if they are compact.

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SN - 0375-930X

IS - 6

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The extra dimensions of the eleven-dimensional simple supergravity are ricci-flat if they are compact

Abstract

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