Edit Profile (opens in new tab) Bernig, Andreas Compute Distance To: Compute Author ID: bernig.andreas Published as: Bernig, Andreas; Bernig, A. External Links: MGP Documents Indexed: 46 Publications since 2000, including 1 Book 2 Contributions as Editor Reviewing Activity: 20 Reviews Co-Authors: 17 Co-Authors with 27 Joint Publications 232 Co-Co-Authors all top 5 Co-Authors 21 single-authored 6 Alesker, Semyon 5 Solanes, Gil 4 Fu, Joseph Howland Guthrie 3 Bröcker, Ludwig 3 Faifman, Dmitry 2 Abardia-Evéquoz, Judit 2 Hug, Daniel 2 Schuster, Franz E. 1 Abardia, Judit 1 Berck, Gautier 1 Dann, Susanna 1 Foertsch, Thomas 1 Lytchak, Alexander 1 Schröder, Viktor M. H. 1 Schuster, Peter 1 Vernicos, Constantin 1 Voide, Floriane all top 5 Serials 4 Advances in Mathematics 3 Israel Journal of Mathematics 3 Journal of Differential Geometry 3 Geometric and Functional Analysis. GAFA 2 American Journal of Mathematics 2 Geometriae Dedicata 2 Journal of Functional Analysis 2 Journal für die Reine und Angewandte Mathematik 2 Differential Geometry and its Applications 2 Advances in Geometry 2 Oberwolfach Reports 1 Beiträge zur Algebra und Geometrie 1 Annales de l’Institut Fourier 1 Archiv der Mathematik 1 Commentarii Mathematici Helvetici 1 Illinois Journal of Mathematics 1 Indiana University Mathematics Journal 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematika 1 Pacific Journal of Mathematics 1 Proceedings of the American Mathematical Society 1 Proceedings of the London Mathematical Society. Third Series 1 Annals of Global Analysis and Geometry 1 The Journal of Geometric Analysis 1 Annals of Mathematics. Second Series 1 Journal of the Institute of Mathematics of Jussieu all top 5 Fields 42 Differential geometry (53-XX) 26 Convex and discrete geometry (52-XX) 7 Algebraic geometry (14-XX) 6 Global analysis, analysis on manifolds (58-XX) 4 Calculus of variations and optimal control; optimization (49-XX) 3 Several complex variables and analytic spaces (32-XX) 2 General and overarching topics; collections (00-XX) 2 Topological groups, Lie groups (22-XX) 2 Geometry (51-XX) 2 Manifolds and cell complexes (57-XX) 1 Combinatorics (05-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Measure and integration (28-XX) 1 Harmonic analysis on Euclidean spaces (42-XX) 1 Integral transforms, operational calculus (44-XX) 1 General topology (54-XX) 1 Probability theory and stochastic processes (60-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 41 Publications have been cited 575 times in 215 Documents Cited by ▼ Year ▼ Hermitian integral geometry. Zbl 1230.52014Bernig, Andreas; Fu, Joseph H. G. 75 2011 Projection bodies in complex vector spaces. Zbl 1217.52009Abardia, Judit; Bernig, Andreas 47 2011 Harmonic analysis of translation invariant valuations. Zbl 1228.53088Alesker, Semyon; Bernig, Andreas; Schuster, Franz E. 45 2011 Valuations on manifolds and Rumin cohomology. Zbl 1117.58005Bernig, Andreas; Bröcker, Ludwig 36 2007 Integral geometry of complex space forms. Zbl 1298.53074Bernig, Andreas; Fu, Joseph H. G.; Solanes, Gil 36 2014 A Hadwiger-type theorem for the special unitary group. Zbl 1180.53076Bernig, Andreas 28 2009 Convolution of convex valuations. Zbl 1117.53054Bernig, Andreas; Fu, Joseph H. G. 27 2006 Kinematic formulas for tensor valuations. Zbl 06847720Bernig, Andreas; Hug, Daniel 23 2018 The product on smooth and generalized valuations. Zbl 1242.53096Alesker, Semyon; Bernig, Andreas 22 2012 Algebraic integral geometry. Zbl 1252.52002Bernig, Andreas 20 2012 Integral geometry under \(G_2\) and \(Spin(7)\). Zbl 1262.53067Bernig, Andreas 16 2011 Valuations with Crofton formula and Finsler geometry. Zbl 1128.53047Bernig, Andreas 15 2007 A product formula for valuations on manifolds with applications to the integral geometry of the quaternionic line. Zbl 1162.53055Bernig, Andreas 13 2009 Invariant valuations on quaternionic vector spaces. Zbl 1248.53059Bernig, Andreas 12 2012 Classification of invariant valuations on the quaternionic plane. Zbl 1305.53076Bernig, Andreas; Solanes, Gil 12 2014 Spin-invariant valuations on the octonionic plane. Zbl 1347.53065Bernig, Andreas; Voide, Floriane 11 2016 The isoperimetrix in the dual Brunn-Minkowski theory. Zbl 1291.52007Bernig, Andreas 11 2014 Intrinsic curvatures in analytic-geometric categories. (Courbures intrinsèques dans les catégories analytico-géométriques.) Zbl 1053.53053Bernig, Andreas; Bröcker, Ludwig 10 2003 Non standard metric products. Zbl 1049.54009Bernig, Andreas; Foertsch, Thomas; Schroeder, Viktor 9 2003 Lipschitz-Killing invariants. Zbl 1074.53064Bernig, Andreas; Bröcker, Ludwig 9 2002 Scalar curvature of definable Alexandrov spaces. Zbl 1027.53041Bernig, Andreas 8 2002 Hilbert geometry of polytopes. Zbl 1171.53046Bernig, Andreas 8 2009 Tangent spaces and Gromov-Hausdorff limits of subanalytic spaces. Zbl 1128.53024Bernig, Andreas; Lytchak, Alexander 8 2007 Valuation theory of indefinite orthogonal groups. Zbl 1373.52017Bernig, Andreas; Faifman, Dmitry 8 2017 Dual curvature measures in Hermitian integral geometry. Zbl 1434.53080Bernig, Andreas; Fu, Joseph H. G.; Solanes, Gil 7 2018 The normal cycle of a compact definable set. Zbl 1119.37025Bernig, Andreas 7 2007 Scalar curvature of defineable CAT-spaces. Zbl 1028.53031Bernig, Andreas 7 2003 Kinematic formulas on the quaternionic plane. Zbl 1430.52017Bernig, Andreas; Solanes, Gil 6 2017 Volume entropy of Hilbert geometries. Zbl 1204.52003Berck, Gautier; Bernig, Andreas; Vernicos, Constantin 6 2010 Curvature tensors of singular spaces. Zbl 1137.53341Bernig, Andreas 5 2006 Generalized translation invariant valuations and the polytope algebra. Zbl 1336.52019Bernig, Andreas; Faifman, Dmitry 5 2016 Centroid bodies and the convexity of area functionals. Zbl 1302.52007Bernig, Andreas 4 2014 Integral geometry and algebraic structures for tensor valuations. Zbl 1376.52021Bernig, Andreas; Hug, Daniel 4 2017 Natural operations on differential forms on contact manifolds. Zbl 1355.53069Bernig, Andreas 3 2017 Support functions, projections and Minkowski addition of Legendrian cycles. Zbl 1125.53063Bernig, Andreas 3 2006 Convolution of valuations on manifolds. Zbl 1387.53099Alesker, Semyon; Bernig, Andreas 3 2017 Variation of curvatures of subanalytic spaces and Schläfli-type formulas. Zbl 1037.32012Bernig, Andreas 2 2003 Flag area measures. Zbl 1420.52010Abardia-Evéquoz, Judit; Bernig, Andreas; Dann, Susanna 1 2019 Scalar curvature of singular spaces. (Skalare Krümmung singulärer Räume.) Zbl 1039.53028Bernig, Andreas 1 2000 Uniqueness of curvature measures in pseudo-Riemannian geometry. Zbl 07430436Bernig, Andreas; Faifman, Dmitry; Solanes, Gil 1 2021 Dual area measures and local additive kinematic formulas. Zbl 1432.53099Bernig, Andreas 1 2019 Uniqueness of curvature measures in pseudo-Riemannian geometry. Zbl 07430436Bernig, Andreas; Faifman, Dmitry; Solanes, Gil 1 2021 Flag area measures. Zbl 1420.52010Abardia-Evéquoz, Judit; Bernig, Andreas; Dann, Susanna 1 2019 Dual area measures and local additive kinematic formulas. Zbl 1432.53099Bernig, Andreas 1 2019 Kinematic formulas for tensor valuations. Zbl 06847720Bernig, Andreas; Hug, Daniel 23 2018 Dual curvature measures in Hermitian integral geometry. Zbl 1434.53080Bernig, Andreas; Fu, Joseph H. G.; Solanes, Gil 7 2018 Valuation theory of indefinite orthogonal groups. Zbl 1373.52017Bernig, Andreas; Faifman, Dmitry 8 2017 Kinematic formulas on the quaternionic plane. Zbl 1430.52017Bernig, Andreas; Solanes, Gil 6 2017 Integral geometry and algebraic structures for tensor valuations. Zbl 1376.52021Bernig, Andreas; Hug, Daniel 4 2017 Natural operations on differential forms on contact manifolds. Zbl 1355.53069Bernig, Andreas 3 2017 Convolution of valuations on manifolds. Zbl 1387.53099Alesker, Semyon; Bernig, Andreas 3 2017 Spin-invariant valuations on the octonionic plane. Zbl 1347.53065Bernig, Andreas; Voide, Floriane 11 2016 Generalized translation invariant valuations and the polytope algebra. Zbl 1336.52019Bernig, Andreas; Faifman, Dmitry 5 2016 Integral geometry of complex space forms. Zbl 1298.53074Bernig, Andreas; Fu, Joseph H. G.; Solanes, Gil 36 2014 Classification of invariant valuations on the quaternionic plane. Zbl 1305.53076Bernig, Andreas; Solanes, Gil 12 2014 The isoperimetrix in the dual Brunn-Minkowski theory. Zbl 1291.52007Bernig, Andreas 11 2014 Centroid bodies and the convexity of area functionals. Zbl 1302.52007Bernig, Andreas 4 2014 The product on smooth and generalized valuations. Zbl 1242.53096Alesker, Semyon; Bernig, Andreas 22 2012 Algebraic integral geometry. Zbl 1252.52002Bernig, Andreas 20 2012 Invariant valuations on quaternionic vector spaces. Zbl 1248.53059Bernig, Andreas 12 2012 Hermitian integral geometry. Zbl 1230.52014Bernig, Andreas; Fu, Joseph H. G. 75 2011 Projection bodies in complex vector spaces. Zbl 1217.52009Abardia, Judit; Bernig, Andreas 47 2011 Harmonic analysis of translation invariant valuations. Zbl 1228.53088Alesker, Semyon; Bernig, Andreas; Schuster, Franz E. 45 2011 Integral geometry under \(G_2\) and \(Spin(7)\). Zbl 1262.53067Bernig, Andreas 16 2011 Volume entropy of Hilbert geometries. Zbl 1204.52003Berck, Gautier; Bernig, Andreas; Vernicos, Constantin 6 2010 A Hadwiger-type theorem for the special unitary group. Zbl 1180.53076Bernig, Andreas 28 2009 A product formula for valuations on manifolds with applications to the integral geometry of the quaternionic line. Zbl 1162.53055Bernig, Andreas 13 2009 Hilbert geometry of polytopes. Zbl 1171.53046Bernig, Andreas 8 2009 Valuations on manifolds and Rumin cohomology. Zbl 1117.58005Bernig, Andreas; Bröcker, Ludwig 36 2007 Valuations with Crofton formula and Finsler geometry. Zbl 1128.53047Bernig, Andreas 15 2007 Tangent spaces and Gromov-Hausdorff limits of subanalytic spaces. Zbl 1128.53024Bernig, Andreas; Lytchak, Alexander 8 2007 The normal cycle of a compact definable set. Zbl 1119.37025Bernig, Andreas 7 2007 Convolution of convex valuations. Zbl 1117.53054Bernig, Andreas; Fu, Joseph H. G. 27 2006 Curvature tensors of singular spaces. Zbl 1137.53341Bernig, Andreas 5 2006 Support functions, projections and Minkowski addition of Legendrian cycles. Zbl 1125.53063Bernig, Andreas 3 2006 Intrinsic curvatures in analytic-geometric categories. (Courbures intrinsèques dans les catégories analytico-géométriques.) Zbl 1053.53053Bernig, Andreas; Bröcker, Ludwig 10 2003 Non standard metric products. Zbl 1049.54009Bernig, Andreas; Foertsch, Thomas; Schroeder, Viktor 9 2003 Scalar curvature of defineable CAT-spaces. Zbl 1028.53031Bernig, Andreas 7 2003 Variation of curvatures of subanalytic spaces and Schläfli-type formulas. Zbl 1037.32012Bernig, Andreas 2 2003 Lipschitz-Killing invariants. Zbl 1074.53064Bernig, Andreas; Bröcker, Ludwig 9 2002 Scalar curvature of definable Alexandrov spaces. Zbl 1027.53041Bernig, Andreas 8 2002 Scalar curvature of singular spaces. (Skalare Krümmung singulärer Räume.) Zbl 1039.53028Bernig, Andreas 1 2000 all cited Publications top 5 cited Publications all top 5 Cited by 175 Authors 27 Bernig, Andreas 12 Alesker, Semyon 11 Schuster, Franz E. 10 Wang, Weidong 9 Ludwig, Monika 8 Hug, Daniel 8 Parapatits, Lukas 7 Solanes, Gil 7 Wannerer, Thomas 6 Abardia, Judit 6 Dutertre, Nicolas 6 Faifman, Dmitry 6 Feng, Yibin 6 Fu, Joseph Howland Guthrie 6 Lytchak, Alexander 6 Wang, Wei 5 Abardia-Evéquoz, Judit 5 Haberl, Christoph 4 Birbrair, Lev 4 Böröczky, Karoly jun. 4 Colesanti, Andrea 4 Dovgoshey, Oleksiy Alfredovich 4 He, Binwu 4 Huang, Qingzhong 4 Liu, Lijuan 4 Mussnig, Fabian 4 Werner, Elisabeth M. 4 Zhao, Changjian 3 Besau, Florian 3 Gómez, Eugenia Saorín 3 Kiderlen, Markus 3 Leng, Gangsong 3 Li, Jin 3 Mahmudov, Elimhan Nadir 3 Rataj, Jan 3 Vernicos, Constantin 3 Weil, Wolfgang 3 Wenger, Stefan 3 Yang, Deane 3 Zhou, Yanping 2 Berg, Astrid 2 Dann, Susanna 2 Domokos, Mátyás 2 Dorrek, Felix 2 Fernandes, Alexandre Cesar Gurgel 2 Grandjean, Vincent 2 He, Rigao 2 Henk, Martin 2 Koike, Satoshi 2 Kotrbatý, Jan 2 Lutwak, Erwin 2 Ma, Tongyi 2 Navarro Garmendia, José 2 Neumann, Walter David 2 Nicolaescu, Liviu I. 2 Paunescu, Laurentiu 2 Sampaio, José Edson 2 Taylor, Jonathan E. 2 Vedel Jensen, Eva Bjørn 2 Weis, Jan A. 2 Ye, Deping 2 Zähle, Martina 2 Zhang, Gaoyong 1 Adler, Robert Joseph 1 Akhiezer, Dmitriĭ Naumovich 1 Alonso-Gutiérrez, David 1 Baldi, Annalisa 1 Ball, Keith Martin 1 Baryshnikov, Yuliy M. 1 Berestovskiĭ, Valeriĭ Nikolaevich 1 Bilet, Viktoriia V. 1 Bröcker, Ludwig 1 Bucher, Michelle 1 Caglar, Umut 1 Chen, Beifang 1 Chen, Feixiang 1 Cheng, Manli 1 Colbois, Bruno 1 Crampon, Mickaël 1 Creutz, Paul 1 Dang, Nguyen-Bac 1 Dang, Nguyen Viet 1 Dumas, David 1 Eriksen, Rikke 1 Franchi, Bruno 1 Gallego, Eduardo 1 Gardner, Richard J. 1 Ghomi, Mohammad 1 Ghrist, Robert W. 1 Glaunès, Joan Alexis 1 Goodey, Paul R. 1 Gordillo-Merino, Adrián 1 Grieser, Daniel 1 Gromov, Mikhael Leonidovich 1 Grote, Julian 1 Gu, David Xianfeng 1 Guo, Jinsheng 1 Hernández Cifre, María A. 1 Hinderer, Wolfram 1 Huang, Yong ...and 75 more Authors all top 5 Cited in 84 Serials 28 Advances in Mathematics 10 Geometric and Functional Analysis. GAFA 9 The Journal of Geometric Analysis 8 Geometriae Dedicata 8 Journal of Functional Analysis 7 Transactions of the American Mathematical Society 7 Journal of Inequalities and Applications 6 Israel Journal of Mathematics 6 Advances in Applied Mathematics 5 Journal of Mathematical Analysis and Applications 5 Proceedings of the American Mathematical Society 5 Advances in Geometry 4 Journal of the European Mathematical Society (JEMS) 3 Annales de l’Institut Fourier 3 Journal für die Reine und Angewandte Mathematik 3 Mathematica Slovaca 3 Differential Geometry and its Applications 3 Calculus of Variations and Partial Differential Equations 3 Selecta Mathematica. New Series 2 Acta Mathematica 2 The Annals of Probability 2 Duke Mathematical Journal 2 Glasgow Mathematical Journal 2 Journal of Optimization Theory and Applications 2 Mathematika 2 Annals of Global Analysis and Geometry 2 Discrete & Computational Geometry 2 Proceedings of the Indian Academy of Sciences. Mathematical Sciences 2 Geometry & Topology 2 Central European Journal of Mathematics 2 Journal of the Institute of Mathematics of Jussieu 2 Oberwolfach Reports 2 Open Mathematics 1 Archive for Rational Mechanics and Analysis 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Rocky Mountain Journal of Mathematics 1 Beiträge zur Algebra und Geometrie 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Annales Polonici Mathematici 1 Archiv der Mathematik 1 Archivum Mathematicum 1 Bulletin of the London Mathematical Society 1 Canadian Journal of Mathematics 1 Illinois Journal of Mathematics 1 Journal of Geometry 1 Journal of the London Mathematical Society. Second Series 1 Journal of the Mathematical Society of Japan 1 Mathematische Annalen 1 Mathematische Nachrichten 1 Mathematische Zeitschrift 1 Osaka Journal of Mathematics 1 Quaestiones Mathematicae 1 Ergodic Theory and Dynamical Systems 1 Acta Mathematica Hungarica 1 Revista Matemática Iberoamericana 1 Journal of the American Mathematical Society 1 L’Enseignement Mathématique. 2e Série 1 Expositiones Mathematicae 1 Russian Mathematics 1 Electronic Journal of Probability 1 Positivity 1 Mathematical Inequalities & Applications 1 Annals of Mathematics. Second Series 1 Journal of Dynamical and Control Systems 1 Communications in Contemporary Mathematics 1 DGDS. Differential Geometry – Dynamical Systems 1 Algebraic & Geometric Topology 1 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Bulletin of the Brazilian Mathematical Society. New Series 1 SIAM Journal on Imaging Sciences 1 Advances in Calculus of Variations 1 Journal of Nonlinear Science and Applications 1 Journal of Singularities 1 Applied General Topology 1 \(p\)-Adic Numbers, Ultrametric Analysis, and Applications 1 Journal of Pseudo-Differential Operators and Applications 1 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 1 Annales Mathématiques du Québec 1 Analysis and Geometry in Metric Spaces 1 Geometry 1 Journal of Function Spaces 1 Arnold Mathematical Journal 1 European Journal of Mathematics 1 SIAM Journal on Applied Algebra and Geometry all top 5 Cited in 36 Fields 138 Convex and discrete geometry (52-XX) 91 Differential geometry (53-XX) 20 Algebraic geometry (14-XX) 18 Several complex variables and analytic spaces (32-XX) 16 Functional analysis (46-XX) 13 Global analysis, analysis on manifolds (58-XX) 11 Probability theory and stochastic processes (60-XX) 10 Real functions (26-XX) 10 Calculus of variations and optimal control; optimization (49-XX) 10 Geometry (51-XX) 9 Measure and integration (28-XX) 7 General topology (54-XX) 7 Manifolds and cell complexes (57-XX) 5 Statistics (62-XX) 3 General and overarching topics; collections (00-XX) 3 Combinatorics (05-XX) 3 Linear and multilinear algebra; matrix theory (15-XX) 3 Group theory and generalizations (20-XX) 3 Functions of a complex variable (30-XX) 3 Partial differential equations (35-XX) 3 Dynamical systems and ergodic theory (37-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Computer science (68-XX) 3 Operations research, mathematical programming (90-XX) 2 Mathematical logic and foundations (03-XX) 2 Abstract harmonic analysis (43-XX) 2 Integral transforms, operational calculus (44-XX) 1 Number theory (11-XX) 1 Field theory and polynomials (12-XX) 1 Commutative algebra (13-XX) 1 Topological groups, Lie groups (22-XX) 1 Ordinary differential equations (34-XX) 1 Operator theory (47-XX) 1 Numerical analysis (65-XX) 1 Systems theory; control (93-XX) 1 Information and communication theory, circuits (94-XX) Citations by Year