Local rigidity of holomorphic curves in the complex Grassmann manifold G(2,6)
Journal of Geometry and Physics, ISSN: 0393-0440, Vol: 121, Page: 438-451
2017
- 7Citations
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Metrics Details
- Citations7
- Citation Indexes7
- CrossRef3
Article Description
In this paper, we first obtain the Gauss equation for the non-degenerate holomorphic immersions from a Riemann surface into the complex Grassmann manifold G(2,6). By using it, we prove that any two linearly full non-degenerate holomorphic curves in G(2,6) are congruent if they have the same first and second fundamental forms.
Bibliographic Details
http://www.sciencedirect.com/science/article/pii/S0393044017301961; http://dx.doi.org/10.1016/j.geomphys.2017.08.002; http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=85030858342&origin=inward; https://linkinghub.elsevier.com/retrieve/pii/S0393044017301961; https://api.elsevier.com/content/article/PII:S0393044017301961?httpAccept=text/xml; https://api.elsevier.com/content/article/PII:S0393044017301961?httpAccept=text/plain; https://dul.usage.elsevier.com/doi/; https://dx.doi.org/10.1016/j.geomphys.2017.08.002
Elsevier BV
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