Lagrangian H-Umbilical Surfaces in Complex Lorentzian Plane
Year 2016,
Volume: 9 Issue: 2, 87 - 93, 30.10.2016
Shangrong Deng
Abstract
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)
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Year 2016,
Volume: 9 Issue: 2, 87 - 93, 30.10.2016
Shangrong Deng
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