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...
محفوظ في:
المؤلف الرئيسي: | |
---|---|
مؤلفون آخرون: | |
التنسيق: | Dissertation |
اللغة: | الإنجليزية |
منشور في: |
Philipps-Universität Marburg
2019
|
الموضوعات: | |
الوصول للمادة أونلاين: | PDF النص الكامل |
الوسوم: |
إضافة وسم
لا توجد وسوم, كن أول من يضع وسما على هذه التسجيلة!
|
الملخص: | 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. |
---|---|
وصف مادي: | 77 Seiten |
DOI: | 10.17192/z2020.0088 |