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Prof. Dr. Theodoros Vlachos

Profil

Derzeitige StellungProfessor W-3 und Äquivalente
FachgebietMathematik Allgemein und übergreifende Themen; Sammlungen,Geometrie, Topologie
KeywordsMathematics, Differential Geometry, Geometry of Submanifolds

Aktuelle Kontaktadresse

LandGriechenland
OrtIoannina
Universität/InstitutionUniversity of Ioannina
Institut/AbteilungDepartment of Mathematics
Websitehttp://users.uoi.gr/tvlachos

Gastgeber*innen während der Förderung

Prof. Dr. Dirk FerusInstitut für Mathematik, Technische Universität Berlin, Berlin
Prof. Dr. Jost-Hinrich EschenburgInstitut für Mathematik, Universität Augsburg, Augsburg
Beginn der ersten Förderung01.02.1997

Programm(e)

1996Humboldt-Forschungsstipendien-Programm

Publikationen (Auswahl)

2023Dajczer, M., Onti, C.-R. and Vlachos, Th.: The codimension of submanifolds with negative extrinsic curvature. In: Results Math., 78, 2023,
2022Dajczer, M., Onti, C.-R. and Vlachos, Th.: A class of Einstein submanifolds of Euclidean space. In: J. Geom. Anal., 32, 2022,
2022Dajczer, M., Jimenez, M. I. and Vlachos, Th.: Conformal infinitesimal bendings of Euclidean hypersurfaces. In: Ann. Mat. Pura Appl. (4), 201, 2022, 743-768
2022Onti, C.-R. and Vlachos, Th.: Homology vanishing theorems for pinched submanifolds. In: J. Geom. Anal., 32, 2022,
2021Dajczer, M., Onti, C.-R. and Vlachos, Th.: Isometric immersions with flat normal bundle between space forms. In: Arch. Math. (Basel), 116, 2021, 577-583
2021Tsouri, A.-S. and Vlachos, Th.: Minimal surfaces in spheres and a Ricci-like condition. In: Manuscripta Math., 166, 2021, 577-583
2021Dajczer, M., Onti, C.-R. and Vlachos, Th.: On constant curvature submanifolds of space forms. In: Differential Geom. Appl., 2021,
2020Dajczer, M., Onti, C.-R. and Vlachos, Th.: Conformally flat submanifolds with flat normal bundle in space forms are holonomic. In: Manuscripta Math., 163, 2020, 407-426
2020Dajczer, M. and Vlachos, Th.: Keahler submanifolds of hyperbolic space. In: Proc. Amer. Math. Soc., 148, 2020, 4015-4024
2020Kanellopoulou, A.E. and Vlachos, Th.: On the mean curvature of submanifolds with nullity. In: Ann. Global Anal. Geom., 58, 2020, 79-108
2019Dajczer, M., Kasioumis, Th., Savas-Halilaj, A. and Vlachos, Th.: Complete minimal submanifolds with nullity in the hyperbolic space. In: J. Geom. Anal., 29, 2019, 413-427
2019Polymerakis, K. and Vlachos, Th.: On the moduli space of isometric surfaces with the same mean curvature in 4-dimensional space forms. In: J. Geom. Anal., 29, 2019, 1320-1355
2019Eschenburg, J.-H. and Vlachos, Th.: Pseudoholomorphic curves in $\mathbb S^6$ and $\mathbb S^5$. In: Rev. Un. Mat. Argentina, 60, 2019, 517-537
2018Dajczer, M. and Vlachos, Th.: A class of complete minimal submanifolds and their associated families of genuine deformations. In: Comm. Anal. Geom, 26, 2018, 699-721
2018Dajczer, M., Kasioumis, Th., Savas-Halilaj, A. and Vlachos, Th.: Complete minimal submanifolds with nullity in Euclidean spheres. In: Comment. Math. Helv., 93, 2018, 645-660
2018Dajczer, M., Onti, C.-R. and Vlachos, Th.: Einstein submanifolds with flat normal bundle in space forms are holonomic. In: Proc. Amer. Math. Soc., 146, 2018, 4035-4038
2018Onti, C.-R. and Vlachos, Th.: Topological obstructions for submanifolds in low codimension. In: Geom. Dedicata, 196, 2018, 11-26
2017M. Dajczer and Th. Vlachos: A class of minimal submanifolds in spheres. In: J. Math. Soc. Japan, 2017, 1197-1212
2017Onti, C.-R. and Vlachos, Th.: Almost conformally flat hypersurfaces. In: Illinois J. Math., 61, 2017, 37-51
2017M. Dajczer, Th. Kasioumis, A. Savas-Halilaj and Th. Vlachos: Complete minimal submanifolds with nullity in Euclidean space. In: Math. Z, 2017, 481-91
2017Dajczer, M. and Vlachos, Th.: The infinitesimally bendable Euclidean hypersurfaces. In: Ann. Mat. Pura Appl. (4), 196, 2017, 1961-1979
2016M. Dajczer. and Th. Vlachos: A representation for pseudoholomorphic surfaces in spheres. In: Proc. Amer. Math. Soc., 2016, 3105-3113
2016Prof. Dr. Theodoros Vlachos: Exceptional minimal surfaces in spheres. In: Manuscripta Mathematica, 2016, 73-98
2016Dajczer, M. and Vlachos, Th.: Isometric deformations of isotropic surfaces. In: Arch. Math. (Basel), 106, 2016, 189-200
2015Dajczer, M. and Vlachos, Th.: A class of superconformal surfaces. In: Ann. Mat. Pura Appl. (4), 194, 2015, 1607-1618
2015Vlachos, Th.: Isometric deformations of minimal surfaces in $\mathbb{S}^4$. In: Illinois J. Math., 58, 2015, 369-380
2015Dajczer, M. and Vlachos, Th.: The associated family of an elliptic surface and an application to minimal submanifolds. In: Geom. Dedicata, 178, 2015, 259-275
2015Dajczer, M. and Vlachos, Th.: The dual superconformal surface. In: Ann. Global Anal. Geom., 48, 2015, 1-22
2014Vlachos, Th.: Integral curvature and topological obstructions for submanifolds. In: Geom. Dedicata, 166, 2014, 289-305
2013Dajczer, M. and Vlachos, Th.: Isometric immersions of warped products. In: Proc. Amer. Math. Soc., 141, 2013, 1795-1803
2011Hasanis, Th., Savas-Halilaj, A. and Vlachos, Th.: On the Jacobians of minimal graphs in $\mathbb{R}^4$. In: Bull. London Math. Soc., 137, 2011, 3463-3471
2009Vlachos, Th.: Almost-Einstein hypersurfaces in the Euclidean space. In: Illinois J. Math., 53, 2009, 1221-1235
2009Hasanis, Th., Savas-Halilaj, A. and Vlachos, Th.: Minimal graphs in $\mathbb{R}^{4}$ with bounded Jacobians. In: Proc. Amer. Math. Soc., 2009, 3463-3471
2008Hasanis, Th. and Vlachos, Th.: Hypersurfaces and Codazzi tensors. In: Monatsh. Math., 154, 2008, 51-58
2008Vlachos, Th.: Isometric deformations of surfaces preserving the third fundamental form. In: Ann. Mat. Pura Appl. (4), 187, 2008, 137-155
2008Vlachos, Th.: Minimal surfaces, Hopf differentials and the Ricci condition.. In: Manuscripta Math., 154, 2008, 201-230
2007Hasanis, Th., Savas-Halilaj, A. and Vlachos, Th.: Complete minimal hypersurfaces in $\mathbb{S}^{4}$. In: Math. Proc. Camb. Phil. Soc., 142, 2007, 125-132
2007Hasanis, Th., Savas-Halilaj, A. and Vlachos, Th.: Complete minimal hypersurfaces in the hyperbolic space $\mathbb{H}^{4}$ with vanishing Gauss-Kronecker curvature. In: Trans. Amer. Math. Soc., 359, 2007, 2799-2818
2007Vlachos, Th.: Homology vanishing theorems for submanifolds. In: Proc. Amer. Math. Soc., 135, 2007, 2607-2617
2005Vlachos, Th.: A characterization of the Clifford torus. In: Arch. Math. (Basel), 85, 2005, 175-182
2005Hasanis, Th., Savas-Halilaj, A. and Vlachos, Th.: Complete minimal hypersurfaces in a sphere. In: Monatsh. Math., 145, 2005, 301-305
2005Vlachos, Th.: Conformal hypersurfaces with the same third fundamental form. In: Differential Geom. Appl., 23, 2005, 327-350
2005Hasanis, Th., Savas-Halilaj, A. and Vlachos, Th.: Minimal hypersurfaces with zero Gauss-Kronecker curvature. In: Illinois J. Math., 49, 2005, 523-529
2004Hasanis, Th. and Vlachos, Th.: Curvature properties of hypersurfaces. In: Arch. Math. (Basel), 82, 2004, 570-576
2004Vlachos, Th.: The Ricci curvature of submanifolds and its applications. In: Quarterly J. Math., 55, 2004, 225-230
2003Theodoros Vlachos: Congruence of minimal surfaces and higher fundamental forms. In: manuscripta math., 2003, 77-91
2002Vlachos, Th.: A sphere theorem for odd-dimensional submanifolds of spheres. In: Proc. Amer. Math. Soc., 130, 2002, 167-173
2002Vlachos, Th.: Intrinsic obstructions to the existence of isometric minimal immersions. In: Pacific J. Math., 205, 2002, 491-510
1999Prof. Dr. Theodoros Vlachos: Minimal Surfaces in a Sphere and the Ricci Condition . In: Annals of Global Analysis and Geometry, 1999, 129-150