# zbMATH — the first resource for mathematics

## Hebda, James J.

Compute Distance To:
 Author ID: hebda.james-j Published as: Hebda, James J.; Hebda, James; Hebda, J. External Links: MGP
 Documents Indexed: 37 Publications since 1981 Reviewing Activity: 261 Reviews

#### Co-Authors

 20 single-authored 8 Blumenthal, Robert A. 5 Tsau, Chichen M. 1 Hsieh, Chun-Chung 1 Ikeda, Yutaka 1 Ku, Wah-Kwan
all top 5

#### Serials

 4 Geometriae Dedicata 4 Transactions of the American Mathematical Society 3 Indiana University Mathematics Journal 3 Pacific Journal of Mathematics 3 Tohoku Mathematical Journal. Second Series 3 Differential Geometry and its Applications 2 Journal of Differential Geometry 2 Comptes Rendus de l’Académie des Sciences. Série I 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Annales de l’Institut Fourier 1 Canadian Mathematical Bulletin 1 Duke Mathematical Journal 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Nagoya Mathematical Journal 1 Proceedings of the American Mathematical Society 1 The Quarterly Journal of Mathematics. Oxford Second Series 1 Annals of Global Analysis and Geometry 1 Journal of Knot Theory and its Ramifications 1 Acta Mathematica Academiae Paedagogicae Nyíregyháziensis. New Series

#### Fields

 34 Differential geometry (53-XX) 14 Manifolds and cell complexes (57-XX) 3 Global analysis, analysis on manifolds (58-XX) 2 Algebraic topology (55-XX) 1 Topological groups, Lie groups (22-XX)

#### Citations contained in zbMATH Open

30 Publications have been cited 185 times in 142 Documents Cited by Year
Ehresmann connections for foliations. Zbl 0511.57021
Blumenthal, Robert A.; Hebda, James J.
1984
De Rham decomposition theorems for foliated manifolds. Zbl 0487.57010
Blumenthal, Robert A.; Hebda, James J.
1983
Complementary distributions which preserve the leaf geometry and applications to totally geodesic foliations. Zbl 0572.57016
Blumenthal, Robert; Hebda, James J.
1984
Metric structure of cut loci in surfaces and Ambrose’s problem. Zbl 0823.53031
Hebda, James J.
1994
Curvature and focal points in Riemannian foliations. Zbl 0596.53027
Hebda, James J.
1986
The collars of a Riemannian manifold and stable isosystolic inequalities. Zbl 0607.53043
Hebda, James J.
1986
Some lower bounds for the area of surfaces. Zbl 0482.53028
Hebda, James J.
1982
An analogue of the holonomy bundle for a foliated manifold. Zbl 0632.53033
Blumenthal, Robert A.; Hebda, James J.
1988
Parallel translation of curvature along geodesics. Zbl 0615.53026
Hebda, James J.
1987
The regular focal locus. Zbl 0492.53040
Hebda, James J.
1981
An example relevant to curvature pinching theorems for Riemannian foliations. Zbl 0745.53024
Hebda, James J.
1992
Conjugate and cut loci and the Cartan-Ambrose-Hicks theorem. Zbl 0485.53040
Hebda, James J.
1982
Cut loci of submanifolds in space forms and in the geometries of Möbius and Lie. Zbl 0839.53040
Hebda, James J.
1995
The local homology of cut loci in Riemannian manifolds. Zbl 0512.53041
Hebda, James J.
1983
Examples of Thomas-Whitehead projective connections. Zbl 0897.53009
Hebda, James; Roberts, Craig
1998
The possible cohomology of certain types of taut submanifolds. Zbl 0656.53059
Hebda, James J.
1988
Hebda, James J.; Hsieh, Chun-Chung; Tsau, Chichen M.
2007
Two geometric inequalities for the torus. Zbl 0721.53040
Hebda, James J.
1991
Blaschke manifolds with taut geodesics. Zbl 0461.53026
Hebda, James J.
1981
Some new tight embeddings which cannot be made taut. Zbl 0545.53049
Hebda, James J.
1984
Normal holonomy and writhing number of smooth knots. Zbl 1162.57009
Hebda, James J.; Tsau, Chichen M.
2008
Normal holonomy and writhing number of polygonal knots. Zbl 1059.57003
Hebda, James J.; Tsau, Chichen M.
2002
A topological criterion for group decompositions. Zbl 0651.22002
Hebda, J.; Moylan, P.
1988
Heterogeneous Riemannian manifolds. Zbl 1202.53037
Hebda, James J.
2010
An inequality between the volume and the convexity radius of a Riemannian manifold. Zbl 0495.53039
Hebda, James J.
1982
Manifolds admitting taut hyperspheres. Zbl 0451.53029
Hebda, James J.
1981
Insecurity is generic in a conformal class of Riemannian metrics. Zbl 1341.53062
Hebda, James J.; Ku, Wah-Kwan
2016
Projective maps of rank $$\geq 2$$ are strongly projective. Zbl 0977.53010
Hebda, James J.
2000
The generalized Cartan-Ambrose-Hicks theorem. Zbl 0625.53030
Blumenthal, Robert A.; Hebda, James J.
1987
The generalized Cartan-Ambrose-Hicks theorem. Zbl 0674.53040
Blumenthal, Robert A.; Hebda, James J.
1989
Insecurity is generic in a conformal class of Riemannian metrics. Zbl 1341.53062
Hebda, James J.; Ku, Wah-Kwan
2016
Heterogeneous Riemannian manifolds. Zbl 1202.53037
Hebda, James J.
2010
Normal holonomy and writhing number of smooth knots. Zbl 1162.57009
Hebda, James J.; Tsau, Chichen M.
2008
Hebda, James J.; Hsieh, Chun-Chung; Tsau, Chichen M.
2007
Normal holonomy and writhing number of polygonal knots. Zbl 1059.57003
Hebda, James J.; Tsau, Chichen M.
2002
Projective maps of rank $$\geq 2$$ are strongly projective. Zbl 0977.53010
Hebda, James J.
2000
Examples of Thomas-Whitehead projective connections. Zbl 0897.53009
Hebda, James; Roberts, Craig
1998
Cut loci of submanifolds in space forms and in the geometries of Möbius and Lie. Zbl 0839.53040
Hebda, James J.
1995
Metric structure of cut loci in surfaces and Ambrose’s problem. Zbl 0823.53031
Hebda, James J.
1994
An example relevant to curvature pinching theorems for Riemannian foliations. Zbl 0745.53024
Hebda, James J.
1992
Two geometric inequalities for the torus. Zbl 0721.53040
Hebda, James J.
1991
The generalized Cartan-Ambrose-Hicks theorem. Zbl 0674.53040
Blumenthal, Robert A.; Hebda, James J.
1989
An analogue of the holonomy bundle for a foliated manifold. Zbl 0632.53033
Blumenthal, Robert A.; Hebda, James J.
1988
The possible cohomology of certain types of taut submanifolds. Zbl 0656.53059
Hebda, James J.
1988
A topological criterion for group decompositions. Zbl 0651.22002
Hebda, J.; Moylan, P.
1988
Parallel translation of curvature along geodesics. Zbl 0615.53026
Hebda, James J.
1987
The generalized Cartan-Ambrose-Hicks theorem. Zbl 0625.53030
Blumenthal, Robert A.; Hebda, James J.
1987
Curvature and focal points in Riemannian foliations. Zbl 0596.53027
Hebda, James J.
1986
The collars of a Riemannian manifold and stable isosystolic inequalities. Zbl 0607.53043
Hebda, James J.
1986
Ehresmann connections for foliations. Zbl 0511.57021
Blumenthal, Robert A.; Hebda, James J.
1984
Complementary distributions which preserve the leaf geometry and applications to totally geodesic foliations. Zbl 0572.57016
Blumenthal, Robert; Hebda, James J.
1984
Some new tight embeddings which cannot be made taut. Zbl 0545.53049
Hebda, James J.
1984
De Rham decomposition theorems for foliated manifolds. Zbl 0487.57010
Blumenthal, Robert A.; Hebda, James J.
1983
The local homology of cut loci in Riemannian manifolds. Zbl 0512.53041
Hebda, James J.
1983
Some lower bounds for the area of surfaces. Zbl 0482.53028
Hebda, James J.
1982
Conjugate and cut loci and the Cartan-Ambrose-Hicks theorem. Zbl 0485.53040
Hebda, James J.
1982
An inequality between the volume and the convexity radius of a Riemannian manifold. Zbl 0495.53039
Hebda, James J.
1982
The regular focal locus. Zbl 0492.53040
Hebda, James J.
1981
Blaschke manifolds with taut geodesics. Zbl 0461.53026
Hebda, James J.
1981
Manifolds admitting taut hyperspheres. Zbl 0451.53029
Hebda, James J.
1981
all top 5

#### Cited by 151 Authors

 12 Zhukova, Nina Ivanovna 10 Hebda, James J. 6 Katz, Mikhail G. 6 Koike, Naoyuki 5 Itoh, Jin-ichi 5 Tanaka, Minoru 4 Habib, Georges 4 Sabourau, Stéphane 4 Vîlcu, Costin 3 Blumenthal, Robert A. 3 Guijarro, Luis 3 Hsieh, Chun-Chung 3 Reckziegel, Helmut 3 Töben, Dirk 3 Tsau, Chichen M. 3 Wolak, Robert A. 2 Angulo Ardoy, Pablo 2 Babenko, Ivan K. 2 Cairns, Grant 2 Knarr, Norbert 2 Kramer, Linus 2 Oshikiri, Gen-ichi 2 Park, Jeonghyeong 2 Reznikov, Alexander G. 2 Richardson, Ken V. 2 Rovenskiĭ, Vladimir Yuzefovich 2 Rudyak, Yuli B. 2 Sinclair, Robert 2 Tondeur, Philippe 1 Abe, Naoto 1 Álvarez López, Jesús A. 1 Angulo, Pablo 1 Ballmann, Hans Werner 1 Bande, Gianluca 1 Bangert, Victor 1 Barbosa, Ezequiel R. 1 Barki, Hichem 1 Bayturaev, A. M. 1 Bazaĭkin, Yaroslav Vladimirovich 1 Beach, I. 1 Bidar, Mohammadreza 1 Blair, David E. 1 Bonnard, Bernard 1 Boualem, Hassan 1 Bugajska, Krystyna M. 1 Caillau, Jean-Baptiste 1 Cappelletti Montano, Beniamino 1 Caramello, Francisco C. jun.. 1 Carreras, Francisco J. 1 Chebochko, N. G. 1 Chitour, Yacine 1 Chruściel, Piotr Tadeusz 1 Chubarov, Georgy V. 1 Crampin, Mike 1 Curras Bosch, Carlos 1 Diop, El Hadji Cheikh Mbacké 1 Dolgonosova, Anna Yu. 1 El Chami, Fida 1 El Mir, Chady 1 Eltzner, Benjamin 1 Escher, Christine M. 1 Feres, Renato 1 Figalli, Alessio 1 Foufou, Sebti 1 Freitas, Pedro 1 Fu, Joseph Howland Guthrie 1 Galaz-Garcia, Fernando 1 Galloway, Gregory J. 1 Gamkrelidze, Revaz Valerianovich 1 Garnier, Lionel 1 Ge, Jianquan 1 Gilkey, Peter B. 1 Giménez, Fernando 1 Ginoux, Nicolas 1 Gorodski, Claudio 1 Grong, Erlend 1 Grundhöfer, Theo 1 Hasegawa, Kazuyuki 1 Hauswirth, Laurent 1 Hladky, Robert Keith 1 Hoelscher, Corey A. 1 Howard, Ralph E. 1 Huckemann, Stephan F. 1 Hurder, Steven E. 1 Izmailova, Z. A. 1 Jean, Frédéric 1 Jung, Seoung Dal 1 Katz, Karin Usadi 1 Kilian, Martin 1 Kim, Hobum 1 Kim, Hong-Jong 1 Kodani, Shigeru 1 Kokkonen, Petri 1 Kondo, Kei-Ichi 1 Kreck, Matthias 1 Krejčiřík, David 1 Le Gall, Jean-François 1 Lytchak, Alexander 1 Makhoul, Ola 1 Massart, Daniel ...and 51 more Authors
all top 5

#### Cited in 62 Serials

 11 Tohoku Mathematical Journal. Second Series 11 Transactions of the American Mathematical Society 8 Geometriae Dedicata 8 Proceedings of the American Mathematical Society 7 Annals of Global Analysis and Geometry 6 Annales de l’Institut Fourier 5 Mathematische Annalen 5 Differential Geometry and its Applications 5 Journal of Mathematical Sciences (New York) 4 Journal of Geometry and Physics 4 Mathematische Zeitschrift 4 Journal of Knot Theory and its Ramifications 3 Kodai Mathematical Journal 3 Manuscripta Mathematica 3 Results in Mathematics 2 Communications on Pure and Applied Mathematics 2 Israel Journal of Mathematics 2 Compositio Mathematica 2 The Journal of Geometric Analysis 2 Indagationes Mathematicae. New Series 2 Lobachevskii Journal of Mathematics 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 1 Computers & Mathematics with Applications 1 Discrete Mathematics 1 Journal of Mathematical Physics 1 Letters in Mathematical Physics 1 Mathematical Notes 1 Acta Mathematica 1 Annales Scientifiques de l’École Normale Supérieure. Quatrième Série 1 Functional Analysis and its Applications 1 Glasgow Mathematical Journal 1 Illinois Journal of Mathematics 1 International Journal of Mathematics and Mathematical Sciences 1 Inventiones Mathematicae 1 Journal of Geometry 1 Journal of the Mathematical Society of Japan 1 Journal für die Reine und Angewandte Mathematik 1 Mathematische Nachrichten 1 Nagoya Mathematical Journal 1 Osaka Journal of Mathematics 1 Ricerche di Matematica 1 Siberian Mathematical Journal 1 Tokyo Journal of Mathematics 1 Topology and its Applications 1 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 1 International Journal of Mathematics 1 Geometric and Functional Analysis. GAFA 1 Russian Mathematics 1 Calculus of Variations and Partial Differential Equations 1 Journal of Difference Equations and Applications 1 Discrete and Continuous Dynamical Systems 1 Documenta Mathematica 1 Transformation Groups 1 Conformal Geometry and Dynamics 1 Chaos 1 Differential Equations 1 Algebraic & Geometric Topology 1 International Journal of Geometric Methods in Modern Physics 1 Proceedings of the Steklov Institute of Mathematics 1 Ufimskiĭ Matematicheskiĭ Zhurnal 1 Communications in Mathematics 1 European Journal of Mathematics
all top 5

#### Cited in 28 Fields

 127 Differential geometry (53-XX) 51 Manifolds and cell complexes (57-XX) 19 Global analysis, analysis on manifolds (58-XX) 8 Algebraic topology (55-XX) 6 Dynamical systems and ergodic theory (37-XX) 4 Partial differential equations (35-XX) 4 Convex and discrete geometry (52-XX) 3 Functions of a complex variable (30-XX) 2 Combinatorics (05-XX) 2 Algebraic geometry (14-XX) 2 Topological groups, Lie groups (22-XX) 2 Ordinary differential equations (34-XX) 2 Abstract harmonic analysis (43-XX) 2 Calculus of variations and optimal control; optimization (49-XX) 2 Geometry (51-XX) 2 General topology (54-XX) 2 Probability theory and stochastic processes (60-XX) 2 Quantum theory (81-XX) 1 General and overarching topics; collections (00-XX) 1 Group theory and generalizations (20-XX) 1 Measure and integration (28-XX) 1 Potential theory (31-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Statistics (62-XX) 1 Numerical analysis (65-XX) 1 Computer science (68-XX) 1 Mechanics of particles and systems (70-XX) 1 Systems theory; control (93-XX)