کد مقاله | کد نشریه | سال انتشار | مقاله انگلیسی | نسخه تمام متن |
---|---|---|---|---|
4606164 | 1337686 | 2013 | 11 صفحه PDF | دانلود رایگان |
عنوان انگلیسی مقاله ISI
The Spinc Dirac operator on hypersurfaces and applications
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موضوعات مرتبط
مهندسی و علوم پایه
ریاضیات
آنالیز ریاضی
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چکیده انگلیسی
We extend to the eigenvalues of the hypersurface Spinc Dirac operator well known lower and upper bounds. Examples of limiting cases are then given. Furthermore, we prove a correspondence between the existence of a Spinc Killing spinor on homogeneous 3-dimensional manifolds E⁎(κ,τ)E⁎(κ,τ) with 4-dimensional isometry group and isometric immersions of E⁎(κ,τ)E⁎(κ,τ) into the complex space form M4(c)M4(c) of constant holomorphic sectional curvature 4c , for some c∈R⁎c∈R⁎. As applications, we show the non-existence of totally umbilic surfaces in E⁎(κ,τ)E⁎(κ,τ) and we give necessary and sufficient geometric conditions to immerse a 3-dimensional Sasaki manifold into M4(c)M4(c).
ناشر
Database: Elsevier - ScienceDirect (ساینس دایرکت)
Journal: Differential Geometry and its Applications - Volume 31, Issue 1, February 2013, Pages 93–103
Journal: Differential Geometry and its Applications - Volume 31, Issue 1, February 2013, Pages 93–103
نویسندگان
Roger Nakad, Julien Roth,