Lie algebra of vector fields and complex structure
نویسندگان
چکیده
منابع مشابه
Harmonicity and Minimality of Vector Fields on Lorentzian Lie Groups
We consider four-dimensional lie groups equipped with left-invariant Lorentzian Einstein metrics, and determine the harmonicity properties of vector fields on these spaces. In some cases, all these vector fields are critical points for the energy functional restricted to vector fields. We also classify vector fields defining harmonic maps, and calculate explicitly the energy of t...
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in this paper, lie group structure and lie algebra structure of unit complex 3-sphere are studied. in order to do this, adjoint representations of unit biquaternions (complexified quaternions) are obtained. also, a correspondence between the elements of and the special complex unitary matrices (2) is given by expressing biquaternions as 2-dimensional bicomplex numbers . the relat...
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• A submitted manuscript is the author's version of the article upon submission and before peer-review. There can be important differences between the submitted version and the official published version of record. People interested in the research are advised to contact the author for the final version of the publication, or visit the DOI to the publisher's website. • The final author version ...
متن کاملThe Lie Algebra of Local Killing Fields
!We present an algebraic procedure that finds the Lie algebra of the local Killing fields of a smooth metric. In particular, we determine the number of independent local Killing fields about a given point on the manifold. As an application, we provide a local classification of the types of surfaces that admit the various possible Lie algebras of local Killing fields, in terms of the Gaussian cu...
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ژورنال
عنوان ژورنال: Journal of the Mathematical Society of Japan
سال: 1975
ISSN: 0025-5645
DOI: 10.2969/jmsj/02740545