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Topological invariants for singularities of real vector fields in dimension three
A GaussBonnetlike formula on twodimensional almostRiemannian manifolds
1.  SISSA, via Beirut 24, 34014 Trieste, Italy 
2.  SISSA, via Beirut 24 34014 Trieste 
3.  Institut de Mathématiques Élie Cartan de Nancy, UMR 7502 INRIA/Universités de Nancy/CNRS, POB 239, 54506 VandoeuvrelèsNancy, France 
[1] 
Eric L. Grinberg, Haizhong Li. The GaussBonnetGrotemeyer Theorem in space forms. Inverse Problems & Imaging, 2010, 4 (4) : 655664. doi: 10.3934/ipi.2010.4.655 
[2] 
Daniel Genin, Serge Tabachnikov. On configuration spaces of plane polygons, subRiemannian geometry and periodic orbits of outer billiards. Journal of Modern Dynamics, 2007, 1 (2) : 155173. doi: 10.3934/jmd.2007.1.155 
[3] 
Mrinal Kanti Roychowdhury. Least upper bound of the exact formula for optimal quantization of some uniform Cantor distributions. Discrete & Continuous Dynamical Systems  A, 2018, 38 (9) : 45554570. doi: 10.3934/dcds.2018199 
[4] 
Ellina Grigorieva, Evgenii Khailov, Andrei Korobeinikov. Optimal control for an epidemic in populations of varying size. Conference Publications, 2015, 2015 (special) : 549561. doi: 10.3934/proc.2015.0549 
[5] 
M. DelgadoTéllez, Alberto Ibort. On the geometry and topology of singular optimal control problems and their solutions. Conference Publications, 2003, 2003 (Special) : 223233. doi: 10.3934/proc.2003.2003.223 
[6] 
Anthony M. Bloch, Rohit Gupta, Ilya V. Kolmanovsky. Neighboring extremal optimal control for mechanical systems on Riemannian manifolds. Journal of Geometric Mechanics, 2016, 8 (3) : 257272. doi: 10.3934/jgm.2016007 
[7] 
Relinde Jurrius, Ruud Pellikaan. On defining generalized rank weights. Advances in Mathematics of Communications, 2017, 11 (1) : 225235. doi: 10.3934/amc.2017014 
[8] 
MiguelC. MuñozLecanda. On some aspects of the geometry of non integrable distributions and applications. Journal of Geometric Mechanics, 2018, 10 (4) : 445465. doi: 10.3934/jgm.2018017 
[9] 
Minoru Murai, Waichiro Matsumoto, Shoji Yotsutani. Representation formula for the plane closed elastic curves. Conference Publications, 2013, 2013 (special) : 565585. doi: 10.3934/proc.2013.2013.565 
[10] 
Isabeau Birindelli, Enrico Valdinoci. On the AllenCahn equation in the Grushin plane: A monotone entire solution that is not onedimensional. Discrete & Continuous Dynamical Systems  A, 2011, 29 (3) : 823838. doi: 10.3934/dcds.2011.29.823 
[11] 
Anulekha Dhara, Aparna Mehra. Conjugate duality for generalized convex optimization problems. Journal of Industrial & Management Optimization, 2007, 3 (3) : 415427. doi: 10.3934/jimo.2007.3.415 
[12] 
Alexander Nabutovsky and Regina Rotman. Lengths of geodesics between two points on a Riemannian manifold. Electronic Research Announcements, 2007, 13: 1320. 
[13] 
Urszula Ledzewicz, Helen Moore. Optimal control applied to a generalized MichaelisMenten model of CML therapy. Discrete & Continuous Dynamical Systems  B, 2018, 23 (1) : 331346. doi: 10.3934/dcdsb.2018022 
[14] 
Mehar Chand, Jyotindra C. Prajapati, Ebenezer Bonyah, Jatinder Kumar Bansal. Fractional calculus and applications of family of extended generalized Gauss hypergeometric functions. Discrete & Continuous Dynamical Systems  S, 2018, 0 (0) : 539560. doi: 10.3934/dcdss.2020030 
[15] 
Juan Campos, Rafael Ortega. Location of fixed points and periodic solutions in the plane. Discrete & Continuous Dynamical Systems  B, 2008, 9 (3&4, May) : 517523. doi: 10.3934/dcdsb.2008.9.517 
[16] 
Dubi Kelmer. Approximation of points in the plane by generic lattice orbits. Journal of Modern Dynamics, 2017, 11: 143153. doi: 10.3934/jmd.2017007 
[17] 
Gabriele Link, JeanClaude Picaud. Ergodic geometry for nonelementary rank one manifolds. Discrete & Continuous Dynamical Systems  A, 2016, 36 (11) : 62576284. doi: 10.3934/dcds.2016072 
[18] 
Jacek Banasiak, Aleksandra Puchalska. Generalized network transport and EulerHille formula. Discrete & Continuous Dynamical Systems  B, 2018, 23 (5) : 18731893. doi: 10.3934/dcdsb.2018185 
[19] 
Aleksander Ćwiszewski, Wojciech Kryszewski. On a generalized PoincaréHopf formula in infinite dimensions. Discrete & Continuous Dynamical Systems  A, 2011, 29 (3) : 953978. doi: 10.3934/dcds.2011.29.953 
[20] 
Ling Yun Wang, Wei Hua Gui, Kok Lay Teo, Ryan Loxton, Chun Hua Yang. Time delayed optimal control problems with multiple characteristic time points: Computation and industrial applications. Journal of Industrial & Management Optimization, 2009, 5 (4) : 705718. doi: 10.3934/jimo.2009.5.705 
2017 Impact Factor: 1.179
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