TOPOLOGICAL INVARIANTS FOR ELLIPTICAL BILLIARDS AND GEODESICS ON ELLIPSOIDS IN THE MINKOWSKI SPACE

V. Dragović; M. Radnović

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TOPOLOGICAL INVARIANTS FOR ELLIPTICAL BILLIARDS AND GEODESICS ON ELLIPSOIDS IN THE MINKOWSKI SPACE

机译：MINKOWSKI空间中椭圆形台球的拓扑不变性和大地测量学

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摘要

We describe topological properties of the elliptical billiard in the Minkowski plane and geodesic motion on an ellipsoid in the Minkowski space.

机译：我们描述了Minkowski平面中椭圆台球的拓扑特性以及Minkowski空间中椭圆体上的测地运动。

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《Journal of Mathematical Sciences》 |2017年第6期|686-694|共9页
作者
V. Dragović; M. Radnović;
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Department of Mathematical Sciences, University of Texas at Dallas, FO 35, 800 West Campbell Road, Richardson, TX 75080, USA;

Mathematical Institute SANU, Kneza Mihaila 36, Belgrade, Serbia;

School of Mathematics and Statistics F07, University of Sydney, NSW 2006, Australia;

Mathematical Institute SANU, Kneza Mihaila 36, Belgrade, Serbia;

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2. NONCOINCIDENCE OF GEODESIC LENGTHS AND HEARING ELLIPTIC QUANTUM BILLIARDS [J] . Amiran EY. Journal of Statistical Physics . 1996,第3a4期

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3. Integrable geodesic flows on orientable two-dimensional surfaces and topological billiards [J] . Izvestiya. Mathematics . 2019,第6期

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4. On the Parameterized Computation of Minimum Volume Outer Ellipsoid of Minkowski Sum of Ellipsoids [C] . Abhishek Halder IEEE Conference on Decision and Control . 2018

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5. Invariant subspace problem and spectral properties of bounded linear operators on Banach spaces, Banach lattices, and topological vector spaces [D] . Troitsky, Vladimir G. 1999

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6. Some New Algebraic and Topological Properties of the Minkowski Inverse in the Minkowski Space [O] . Hanifa Zekraoui, Zeyad Al-Zhour, Cenap Özel 2013

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7. Geodesics on an ellipsoid in Minkowski space [O] . Genin, D., Khesin, B., Tabachnikov, S. 2007

机译：在minkowski空间的椭圆体上的测地线
8. Geodesic Vector Fields on Minkowski Space-Time and (3+1)-Solitary Waves [R] . Donev, S. G. 1988

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TOPOLOGICAL INVARIANTS FOR ELLIPTICAL BILLIARDS AND GEODESICS ON ELLIPSOIDS IN THE MINKOWSKI SPACE

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