Schouten Manifold with a Spinor Structure

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概要

• 論文の詳細を見る

• We equip a general Schouten manifold with a spinor structure and further with a spinor metric, a spinor affine connection, and a linear isomorphism of the tangent vector space into the spinor space that is a two-dimensional complex vector space. The nonmetrical tensor that measures the failure of the affine connection to preserve the metric can be then expressed in fundamental geometrical objects that are related to the above spinorial objects. We also give a method of reducing the Schouten manifold to special manifolds such as the Weyl-Cartan manifold and the Riemann-Cartan manifold.

• 理論物理学刊行会の論文
• 1983-01-25

著者

• OSHIMA Hiroshi

  Department of Biomaterials,Osaka Dental University

• Oshima H

  Kwansei Gakuin Univ. Sanda

• OBATA Tsunehiro

  Department of Electrical Engineering, Tohoku University

• Obata T

  Tohoku Univ.

• Obata Tsunehiro

  Department Of Electrical Engineering Gunma National College Of Technology

• Oshima Hiroshi

  Deparment Of Chemistry School Of Science Kwansei Gakuin University

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