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Curvature inequalities
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Part 1 of ebook "Elementary differential geometry (Second edition)" provide readers with content about: curves in the plane and in space; how much does a curve curve; global properties of curves; surfaces in three dimensions; examples of surfaces; the first fundamental form; curvature of surfaces;... Please refer to the ebook for details!
227p
duonghoanglacnhi
07-11-2022
13
2
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This chapter presents the following content: Inequality across countries; poverty, Inequality, and GNP per capita; the growth controversy: seven critical questions; the growth controversy: seven critical questions; measuring inequality and poverty; the greater the curvature of the lorenz line, the greater the relative degree of inequality;...
84p
larachdumlanat124
28-11-2020
13
0
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We consider statistical submanifolds in Sasaki-like statistical manifolds. We give some examples of invariant and antiinvariant submanifolds of Sasaki-like statistical manifolds. We prove Chen-like inequality involving scalar curvature and Chen–Ricci inequality for these kinds of submanifolds.
15p
nutifooddau
21-01-2019
13
2
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In this article, we establish an inequality between the sectional curvature function K and the shape operator AH at the mean curvature vector for slant submanifolds in generalized complex space forms. Also a sharp relationship between the k-Ricci curvature and the shape operator AH is proved.
15p
danhdanh27
07-01-2019
19
2
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In this article, we establish inequalities between the Ricci curvature and the squared mean curvature, and also between the k-Ricci curvature and the scalar curvature for a slant, semi-slant and bi-slant submanifold in a cosymplectic space form of constant ϕ- sectional curvature with arbitrary codimension.
14p
danhdanh27
07-01-2019
11
1
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In this paper, we study slant submanifolds of a Kaehler product manifold. We show that an F-invariant slant submanifold of Kaehler product manifold is a product manifold. We also obtain some curvature inequalities in terms of scalar curvature and Ricci tensor.
13p
danhdanh27
07-01-2019
21
1
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In this paper, we prove B. Y. Chen inequalities for submanifolds of a Riemannian manifold of quasiconstant curvature, i.e., relations between the mean curvature, scalar and sectional curvatures, Ricci curvatures and the sectional curvature of the ambient space. The equality cases are considered.
9p
tuongvidanh
06-01-2019
22
2
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One of the most powerful tools to find relationships between intrinsic invariants and extrinsic invariants of a submanifold is provided by Chen’s invariants. In this paper some B.-Y. Chen inequalities for slant submanifolds in quaternionic space forms are established.
14p
tuongvidanh
06-01-2019
24
1
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In this paper we give a new proof for the classification result in [3]. We show that isoparametric hypersurfaces with four distinct principal curvatures in spheres are of Clifford type provided that the multiplicities m1 , m2 of the principal curvatures satisfy m2 ≥ 2m1 − 1. This inequality is satisfied for all but five possible pairs (m1 , m2 ) with m1 ≤ m2 .
15p
dontetvui
17-01-2013
63
7
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Tuyển tập báo cáo các nghiên cứu khoa học quốc tế ngành hóa học dành cho các bạn yêu hóa học tham khảo đề tài: Research Article Some Inequalities for the Lp -Curvature Image
12p
sting09
22-02-2012
43
2
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Tuyển tập các báo cáo nghiên cứu khoa học ngành toán học tạp chí Journal of Operator Theory đề tài: Cong bất bình đẳng và tài sản cực trị của ca bó...
13p
matuot_266
27-08-2011
52
3
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