We study the holomorphic φ-sectional curvature of the natural diagonal tangent sphere bundles with Sasakian structures, determined by Druţă-Romaniuc and Oproiu. After finding the explicit expressions for the components of the curvature tensor field and of the curvature tensor field corresponding...
For the sphere the curvatures of all normal sections are equal, so every point is an umbilic. 球面上所有法曲线的曲率都是相等的,所以每个点都是脐点。 LASER-wikipedia2 They need to have a continuous rate of curvature change between the two sections, or else their reflections will appear di...
2) sectional curvature 截面曲率 1. On pinching problem ofsectional curvatureon minimal submanifolds in a symmetric space; 局部对称黎曼流形中极小子流形的截面曲率的pinching问题 2. Let Mmbe a compact submanifold with positivesectional curvatureof a space form Nn(c). ...
摘要: LetMbe a hypersurface in Euclidean space and let the Ricci curvature ofMbe bounded below by some nonnegative constant. In this paper, we estimate the sectional curvature ofMin terms of the lower bound of Ricci curvature and the upper bound of mean curvature....
In the first section we explain how one can find generalized gradients for distance functions in situations where the function might not be smooth. This critical point technique is used in the proofs of all the big theorems in this chapter.
We study holomorphic immersions : from a complex manifold into a Khler manifold of constant holomorphic sectional curvature , i.e. a complex hyperbolic spa... N Mok - 《中国科学:数学(英文版)》 被引量: 10发表: 2005年 The Holomorphic φ-Sectional Curvature of Tangent Sphere Bundles with Sasa...
In addition, we provide convergence analysis for the asymptotically elliptic manifolds, where the sectional curvature at each given point on manifold is locally bounded from below by the distance function. We demonstrate the performance of the primal-dual algorithm on the sphere for the non-negative...
Visual perception also involves recognizing the direction, depth, and surface curvature in object shapes, as well as understanding the potential roles represented by shapes [104]. Moreover, the color tone, saturation, and brightness are also specific visual perceptions [105]. Therefore, design ...
Affine hyperspherelocally homogeneousdifference tensor fieldWe determine 3-dimensional locally homogeneous Lorentzian affine hyperspheres with constant sectional curvature and with zero Pick invariant.doi:10.1007/s00022-013-0147-5Journal of GeometryOoguri M.: Three-dimensional locally homogeneous Lorentzian ...
This gives a direct proof of Brendle-Schoen's recent differential sphere theorem, bypassing any discussion of positive isotropic curvature.doi:10.48550/arXiv.0706.0332Ni, LeiWolfson, JonEprint ArxivL. Ni and J. Wolfson, Positive complex sectional curvature, Ricci flow and the differential sphere ...