Accepted papers

Published papers



• A class of Finsler metrics admitting first integrals, coauthors Ioan Bucataru, Georgeta Cretu, Journal of Geometry and Physics, DOI: 10.1016/j.geomphys.2021.104254


• Alternative Lagrangians obtained by scalar deformations , coauthor Ebtsam H. Taha, International Journal of Geometric Methods in Modern PhysicsVol. 17, No. 04, 2050050 (2020), https://doi.org/10.1142/S0219887820500504


• Generalized Helmholtz conditions for Lagrangian systems with non-conservative forces, coauthor Ioan Bucataru, Mathematical Physics Analysis and Geometry 12/2015; 18(1):Article:25, 24 pages. DOI:10.1007/s11040-015-9196-3
• Aditional material


• A nonlinear connection for higher order ordinary differential equations, dedicated to Academician Radu Miron at his 85th birthday, coauthors Bucataru, I., Dahl, M.F.REV. ROUMAINE MATH. PURES APPL., 57 (2012), 1, 43-53 (summary paper).
• Formal integrability for the nonautonomous case of the inverse problem of the calculus of variations , SIGMA 8 (2012), 059, 17 pages (ISI)


• WEYL_Subgeometry and its linear connections, coauthor Mircea Crasmareanu, International Journal of Geometric Methods in Modern Physics, Vol. 9 (Issue 5) (2012) 10.1142/S0219887812500478 (ISI)


• Ioan Bucataru, Oana Constantinescu, Matias F. Dahl: A geometric setting for systems of ordinary differential equations, International Journal of Geometric Methods in Modern Physics, Vol. 8 (Issue 6) (2011), 1291-1327(ISI)


• A new Tzitzeica hypersurface and cubic Finslerian metrics of Berwald type , coauthor Mircea Crasmareanu, Balkan Journal of Geometry and Its Applications, vol.16(2)(2011), 27-34 (ISI)


• Helmholtz conditions and symmetries for the time dependent case of the inverse problem of the calculus of variations, coautor Ioan Bucataru, arXiv:0908.1631,Journal of Geometry and Physics 60 (2010), 1710-1725 (ISI)


• Examples of conics arrising in two dimensional Finsler and Lagrange geometries, An. St. Univ. Ovidius Constanta, 17(2009), no. 2, 45-60, coauthor Mircea Crasmareanu (ISI)


• Myller configurations in Finsler spaces. Applications to the study of Finsler subspaces and of torse forming vector fields, J. Korean Math. Soc. 45 (2008), No. 5, pp. 1443–1482,(ISI)


• Myller configurations M(C,x ,Tn-1) in Finsler spaces Fn=(M,F). Applications to the study of hypersurfaces in Finsler spaces, Tensor, N.S., Vol.68, No1.(2007), pp. 89-117;


• Myller configurations in Finsler spaces. Applications to the study of torse forming vector fields, Differential Geometry – Dynamical System (electronic journal), vol. 8, no. 1, 2006, pp 69-76;


• Myller configurations M(C,x,T2n-1) on TM, with Fn=(M,F) a Finsler space, Tensor N.S., vol. 66, no. 2, 2005, pp 118-130;


• Hypersurfaces in Hamilton spaces, Lagrange and Hamilton geometries and their applications, Radu Miron (Ed.), Handbooks. Treatises. Monographs, 49, 2004, pp 93-102, Fair Partners Publishers;





Papers published in proceedings



• Myller configurations M(C,x,Tm) in Finsler spaces Fn=(M,F), Ann. Of Univ. of Agricultural Sciences and Veterinary Medecine “Ion Ionescu de la Brad” of Iasi, Tom TXLVIII, V.2, 2005, pp 247-272;
• Concurrence in a Myller configuration on TM, with Fn=(M,F) a Finsler space, Ann. Of Univ. of Agricultural Sciences and Veterinary Medecine “Ion Ionescu de la Brad” of Iasi, Tom XLVIX, vol. 2 (2006), pp. 125-136;





Books

• In colaboration with M. Crasmareanu and M. Munteanu: Elemente de geometrie superioara, MatrixRom, 2007
• Ph. D. Thesis: "Lagrange spaces. Generalisations and applications", advisor Acad. Dr. Doc. Radu Miron, (July 15, 2005).





Some topics of interest in differential geometry

• Finsler, Lagrange, Hamilton geometry
• Submanifolds in Lagrange and Hamilton spaces
• Myller configurations in Finsler spaces
• Lagrangian and Hamiltonian mechanical systems





Member in the next grants of research

• grants CNCSIS and CEEX of Prof. Dr. Mihai Anastasiei and Acad. Dr. Doc. Radu Miron in the years 2002-2005
• grant CEEX (AT) nr. 31742/12.10. - Geometrie Finsler - Lagrange. Aplicatii la teoria sistemelor dinamice, director grant Conf. Ioan Bucataru
• grant CEEX (AT) nr. 5883/18.09.2006 - Noi aspecte asupra structurilor cuaternionice pe varietati diferentiabile si subvarietatile acestora, director grant Lect. Marian Ioan Munteanu
• grant CNCSIS (AT) GR 214/20.09.2006 - Aplicatii ale grupurilor in studiul unor structuri geometrice remarcabile pe varietati diferentiabile ; reprezentare si modelare geometrica, director grant Marian Ioan Munteanu
• grant PNII- idei 398/28.09.2007 Invarianti geometrici si topologici asociati unor structuri geometrice pe varietati. Aplicatii, director grant Ioan Bucataru.





Workshops - Seminars - Conferences

• May 1995 - Sinaia, Romania, Spring school of Gauge Theory - Prof. Rivaseaux, Ecole Politechnique Paris
• February 2000, Bacau, Romania, The 11th Seminar of Finsler and Lagrange Geometry
• August 2001, Iasi, Romania, Finsler and Lagrange geometries and applications, international conference organized by the Institute of Mathematics 'O. Mayer', Iasi Branch of the Romanian Academy
• August 2002, Iasi, Conference on Differential Geometry: Lagrange and Hamilton spaces, in honour of Acad. Radu Miron at his 75-th birthday
• September 2003, Cluj-Napoca, Romania, The 6th international workshop on differential geometry and its applications and the 3th German-Romanian seminar on geometry (Hypersurfaces in Hamilton spaces)
• August 2004, Timisoara, Romania, The 6th international conference of Tensor Society (Myller configurations M(C,x,T2n-1) on TM, with Fn=(M,F) a Finsler space)
• September 2004, Brasov, Romania, The 13th National Seminar of Finsler and Lagrange Geometry (Concurrence in a Myller configuration)
• May 2005, Iasi, Romania, The 4th annual Symposium on Mathematics applied in Biology&Biophysics, University of Agricultural Sciences and Veterinary Medecine 'Ion Ionescu de la Brad' (Myller configurations M(C,x,Tm) in Finsler spaces Fn=(M,F))
• August 2005, Mangalia, Romania, The 5th conference of Balcan Society of Geometers (Myller configurations in Finsler spaces. Applications to the study of torse forming vector fields)
• May 2006, Mulhouse, France, Socrates TS mobility at UHA (Universite de Haute Alsace, Departement de Mathematiques)`(Inroduction dans la geometrie des espaces de Finsler)
• September 2006, Brasov, Romania, The 14th National Seminar of Finsler and Lagrange Geometry
• May 2007, Balatonfoldvar, Hungary, Workshop of DFinsler geometry, Department of Mathematics, University of Debrecen
• September 2007, Iasi, the international conference of Lagrange and Hamilton geometry, "Al.I.Cuza" University, Iasi (About Finsler surfaces)
• July 2008, Brasov, Riemannian Geometry and its applications, University of Bucharest and University of Brasov (poster : Weyl substructures and compatible linear connections, coauthor Mircea Crasmareanu)
• August 2008, Balatonfoldvar, Hungary, XXIIIrd International Workshop On Differential Geometric Methods In Theoretical Mechanics ( Weyl substructures and compatible linear connections)
• May 2009, Debrecen, Hungary, Workshop of Finsler geometry, Department of Mathematics (Semi-basic 1-forms and the inverse problem for time-dependent SODE, coauthor Ioan Bucataru)
• August 2009, Levico Terme (Trento), Italy, XXIV International Workshop On Differential Geometric Methods In Theoretical Mechanics (Semi-basic 1-forms and the inverse problem for time-dependent sode, coautor Ioan Bucataru)
• Septembre 2009, Iasi, Workshop on Differential Geometry and its applications, organizor: IMAR Bucharest.
• December 2009, Inverse Days, Luosto, Finland, Sodankylä Geophysical Observatory and Helsinki University of Technology (The inverse problem of the calculus of variations)
• June 2010,Iasi, Alexandru Myller Mathematical Seminar Centennial Conference, "Al.I.Cuza" University, Faculty of Mathematics (Symmetries and first order variation for systems of ordinary differential equations, coauthors Ioan Bucataru, Matias Dahl)
• August 2010, Levico Terme (Trento), Italy, XXV International Workshop On Differential Geometric Methods In Theoretical Mechanics
• August 2011, Brasov, the VII-th International Conference: Finsler Extensions of Relativity Theory - FERT (A unifying geometric setting for systems of ordinary differential equations on manifolds)
• December 2011, Helsinki, Finland, Finnish-Japanese-Korean workshop on inverse problems and the 17th Inverse Days of the Finnish Inverse Problems Society
• September 2013, Iasi, The 13 th International Conference of Tensor Society (Formal integrability for the nonautonomous case of the inverse problem of the calculus of variations)
• August 2014, Brasov, the X-th International Conference on Finsler Extensions of Relativity Theory - FERT
• October 2014, Iasi, The National Conference of SSMR (Generalized Helmholtz conditions for Lagrangian systems with nonconservative forces)
• July 2015, Iasi, The Eighth Congress of Romanian Mathematicians (Geometric inverse problems in Lagrangian Mechanics)
• September 2017, Iasi, Geometry Day (A geometric approach to an inverse problem in Lagrangian Mechanics)
• November 2017, Iasi, International Conference on Applied and Pure Mathematics (Alternative Lagrangians obtained by scalar deformations)

Worshop of "Al.I.Cuza" University of Iasi:

• "On a homogeneous Riemannian metric"
• "Concurrence in Finsler spaces"
• "Maximal Myller configurations in a Finsler space"
• "Some remarks about the Wuenschmann invariant"
• "Formal integrability for the nonautonomous case of the inverse problem of the calculus of variations"
• Grupuri de simetrii
• "Lagrangians deformations"

The seminar of the department of geometry (SING):

• The geometry of systems of higher order ordinary differential equations (2010)
• Helmholtz type conditions for time dependent Lagrangians (2009)
• Semi-basic 1-forms and the inverse problem for time-dependent SODEs(2009)