| Finsler空间子流形上的诱导联络 |
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| 引用本文： | 陈启旭. Finsler空间子流形上的诱导联络[J]. 福建师范大学学报(自然科学版), 1997, 13(1): 15-20 |
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| 作者姓名： | 陈启旭 |
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| 摘 要： | 用纤维丛概念给出Ｆｉｎｓｌｅｒ空间子流形上诱导联络的定义,此不必依赖于度量张量,仅使用一般的“诱导张量”。若取度量张量人秋诱导张量,则由Ｃａｒｔａｎ联络得出的诱导联络合于Ｒｕｎｄ的古典定义。
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| 关 键 词： | 诱导张量 诱导联络 Finsler空间 子流形 纤维丛 |
Induced Connection on the Submanifold in a Finsler Space |
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| Chen Qixu. Induced Connection on the Submanifold in a Finsler Space[J]. Journal of Fujian Teachers University(Natural Science), 1997, 13(1): 15-20 |
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| Authors: | Chen Qixu |
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| Affiliation: | Department of Mathematics |
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| Abstract: | In this paper, the author gives a definition for the induced connection onthe submanifold in a Finsler space by the concept of fiber bundle. This definition neednot depend on the metric tensor and merely uses a general "inducing tensor". If the metric tensor is taken as inducing tensor, the induced connection obtained from Cartan connection will coincide with Rund's classical definition. |
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| Keywords: | Finsler tensor projection inducing tensor induced connection |
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