GEODESIC MAPPINGS ON COMPACT RIEMANNIAN MANIFOLDS WITH CONDITIONS ON SECTIONAL CURVATURE

Irena Hinterleitner

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GEODESIC MAPPINGS ON COMPACT RIEMANNIAN MANIFOLDS WITH CONDITIONS ON SECTIONAL CURVATURE

机译：具有分段曲线条件的紧致黎曼流形上的测地映射

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摘要

We found new criteria for sectional curvatures on compact Riemannian manifolds for which geodesic mappings are affine, and, moreover, homothetic.

机译：我们在紧凑的黎曼流形上找到了截面曲率的新标准，对于这些曲率，测地线映射是仿射的，而且是同构的。

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《Publications de l Institut Mathématique》 |2013年第108期|共6页
作者
Irena Hinterleitner;
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中图分类数学;
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2. Harmonic mappings, minimal and totally geodesic immersions of compact Riemannian homogeneous spaces into Grassmann manifolds [J] . Osamu Ikawa Kodai Mathematical Journal . 1993,第2期

机译：调和映射，紧凑的黎曼齐次空间到格拉斯曼流形的最小化和完全测地线浸没
3. AN IMPROVEMENT ON EIGENFUNCTION RESTRICTION ESTIMATES FOR COMPACT BOUNDARYLESS RIEMANNIAN MANIFOLDS WITH NONPOSITIVE SECTIONAL CURVATURE [J] . Chen Xuehua Transactions of the American Mathematical Society . 2015,第6期

机译：具有非正截面曲率的紧凑无边界Rimannian流形本征约束估计的改进。
4. Stochastic Primal-Dual Method on Riemannian Manifolds of Bounded Sectional Curvature [C] . Masoud Badiei Khuzani, Na Li IEEE International Conference on Machine Learning and Applications . 2017

机译：有界截面曲率的黎曼流形上的随机原始对偶方法
5. Harmonic mean curvature flow in Riemannian manifolds and Ricci flow on noncompact manifolds. [D] . Xu, Guoyi. 2010

机译：黎曼流形中的调和平均曲率流和非紧流形上的Ricci流。
6. Computing the Riemannian curvature of image patch and single-cell RNA sequencing data manifolds using extrinsic differential geometry [O] . Duluxan Sritharan, Shu Wang, Sahand Hormoz 2021

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7. DENSITY THEOREMS FOR INVARIANT CLOSED GEODESICS OF A COMPACT RIEMANNIAN MANIFOLD WITH STRICTLY NEGATIVE CURVATURE [O] . Midori S. GOTO, Kagumi UESU 1985

机译：具有严格负曲率的紧凑型黎曼歧管的不变性闭合测力学的密度定理

GEODESIC MAPPINGS ON COMPACT RIEMANNIAN MANIFOLDS WITH CONDITIONS ON SECTIONAL CURVATURE

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