Keyword

geodesics

Description: Geodesics are locally distance-minimizing curves in differential geometry, defined on Riemannian or related geometric spaces.

Primary topic: Advanced Differential Geometry Research (29%)

Wikidata ID: wiki/Q213488

OpenAlex ID: keywords/geodesics

An Introduction to Riemann-Finsler Geometry

2000 · D. Bao, S.-S. Chern, et al. · Graduate texts in mathematics · 1,694

Sur la géométrie différentielle des groupes de Lie de dimension infinie et ses applications à l'hydrodynamique des fluides parfaits

1966 · Vladimir Arnold · Annales de l’institut Fourier · 1,611

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Introduction to Geometry

1969 · H. S. M. Coxeter · 1,560

A Riemannian Framework for Tensor Computing

2005 · Xavier Pennec, Pierre Fillard, et al. · International Journal of Computer Vision · 1,551

Optimal paths for a car that goes both forwards and backwards

1990 · James Reeds, Lawrence Shepp · Pacific Journal of Mathematics · 1,447

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Riemannian Geometry

1998 · Peter Petersen · Graduate texts in mathematics · 1,291

Manifolds of Negative Curvature

1969 · R. L. Bishop, B. O’Neill · Transactions of the American Mathematical Society · 1,178

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Semi-Riemannian Geometry

2011 · Feng Ye · Springer eBooks · 1,145

Hamilton-Jacobi and Schrodinger Separable Solutions of Einstein’s Equations

1968 · Brandon Carter · Communications in Mathematical Physics · 1,111

Maximal Analytic Extension of the Kerr Metric

1967 · Robert H. Boyer, Richard W. Lindquist · Journal of Mathematical Physics · 1,064

A Relativist's Toolkit

2004 · Eric Poisson · Cambridge University Press eBooks · 1,034

Geometrical Methods of Nonlinear Analysis

1984 · Mark Aleksandrovič Krasnosel’skiĭ, Petr Petrovič Zabreĭko · Grundlehren der mathematischen Wissenschaften · 951

Manifolds all of whose Geodesics are Closed

1978 · Arthur L. Besse · Springer eBooks · 866

Introduction to general relativity

2019 · Lee, Dan · Graduate studies in mathematics · 800

Geometry of Manifolds

2001 · Richard Bishop, Richard Crittenden · American Mathematical Society eBooks · 780

Time evolution of entanglement entropy from black hole interiors

2013 · Thomas Hartman, Juan Maldacena · Journal of High Energy Physics · 762

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A Relativist's Toolkit: The Mathematics of Black-Hole Mechanics

2004 · Eric Poisson · 718

The geometry of geodesics

1955 · Herbert Busemann · 652

Shape Analysis of Elastic Curves in Euclidean Spaces

2010 · A Srivastava, E Klassen, et al. · IEEE Transactions on Pattern Analysis and Machine Intelligence · 638

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Sub-Riemannian geometry

1986 · Robert S. Strichartz · Journal of Differential Geometry · 637

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Introduction to Riemannian Manifolds

2018 · John M. Lee · Graduate texts in mathematics · 598

Riemannian Geometry and Geometric Analysis

2017 · Jürgen Jost · Universitext · 579

Graph Regularized Sparse Coding for Image Representation

2010 · Miao Zheng, Jiajun Bu, et al. · IEEE Transactions on Image Processing · 562

A Realization-Theoretic Foundation for Fault Diagnosis, with Diagnosability Equivalence Predictions

2021 · Bronstein, Michael M., Bruna, Joan, et al. · arXiv (Cornell University) · 519

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Lectures on Closed Geodesics

1978 · Wilhelm Klingenberg · Grundlehren der mathematischen Wissenschaften · 515

Works count: 11,010

Citation count: 125,400