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
موضوعات مرتبط
مهندسی و علوم پایه ریاضیات آنالیز ریاضی
پیش نمایش صفحه اول مقاله
The Spinc Dirac operator on hypersurfaces and applications
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
نویسندگان
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