On metric connections with totally skew-symmetric torsion tensor
We consider a 1-parameter family of metric connections with totally skew-symmetric torsion tensors on a Riemannian manifold and derive a Weitzenböck formula for the Laplace operator, arising from such a connection. Various notions related to the family are defined and developed in the process, mimic...
সংরক্ষণ করুন:
প্রধান লেখক: | |
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অন্যান্য লেখক: | |
বিন্যাস: | Dissertation |
ভাষা: | ইংরেজি |
প্রকাশিত: |
Philipps-Universität Marburg
2019
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বিষয়গুলি: | |
অনলাইন ব্যবহার করুন: | পিডিএফ এ সম্পূর্ন পাঠ |
ট্যাগগুলো: |
ট্যাগ যুক্ত করুন
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সংক্ষিপ্ত: | We consider a 1-parameter family of metric connections with totally skew-symmetric torsion tensors on a Riemannian manifold and derive a Weitzenböck formula for the Laplace operator, arising from such a connection. Various notions related to the family are defined and developed in the process, mimicking what is normally done with the Levi-Civita connection. We investigate the matter of skew torsion further by introducing weakly non-degenerate and non-degenerate split torsion and show examples of manifolds, admitting such connections. |
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দৈহিক বর্ননা: | 77 Seiten |
ডিওআই: | 10.17192/z2020.0088 |