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ISOMETRIC IMMERSIONS OF FINSLER MANIFOLDS

원대연|이난이
강원경기수학회 (The Kangweon-Kyungki Mathematical Society)|2009.03|한국수학논문집 (Korean Journal of Mathematics)|제17권 제1호|pp. 1-13

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참고문헌

키워드

Finsler manifoldChern connectionMinkowskian Finsler manifoldisometric immersionGauss equationRicci equationCodazzi equation
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초록

For an isometric immersion f:M→[기호] of Finsler manifolds M into [기호], we compare the intrinsic Chern connection on M and the induced connection on M. We find the conditions for them to coincide and generalize the equations of Gauss, Ricci and Codazzi to Finsler submanifolds. In case the ambient space is a locally Minkowskian Finsler manifold, we simplify the above equations.

Abstract

For an isometric immersion f:M→[기호] of Finsler manifolds M into [기호], we compare the intrinsic Chern connection on M and the induced connection on M. We find the conditions for them to coincide and generalize the equations of Gauss, Ricci and Codazzi to Finsler submanifolds. In case the ambient space is a locally Minkowskian Finsler manifold, we simplify the above equations.

참고문헌 (17)

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관련 논문AI추천

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