Books
- Extremals of the Sobolev inequality and the quaternionic
contact Yamabe problem, (with D. Vassilev), World Scientific
Publishing Co. Pte. Ltd., Hackensack, NJ, 2011. xviii+219 pp.
- Quaternionic contact Einstein structures and quaternionic
contact Yamabe problem, (with I. Minchev and D. Vassilev),
Memoirs Amer. Math. Soc. (2014), 231, no. 1086.
Survey papers
- The Lichnerowicz and Obata first eigenvalue theorems and
the Obata uniqueness result in the Yamabe problem on CR and
quaternionic contact manifolds, (with Dimiter Vassilev),
Nonlinear Analysis - Theory 126 (2015), 262-323.
arXiv:1504.03259.
Papers
- Quaternionic contact hypersurfaces in hyper-K\"ahler
manifolds, (with Ivan Minchev, Dimiter Vassilev), to appear in Annali di
matematica Pura ed Applicata.
arXiv:1406.4256.
- Quaternionic contact Einstein manifolds , (with Ivan
Minchev and Dimiter Vassilev), to appear in Math. Research Letters.
arXiv:1306.0474.
- Connections on non-symmetric (generalized) Riemannian manifold and gravity,
(with Milan Zlatanovic), to appear in Class. Quntum Gravity.
arXiv:1503.05217.
- The Obata sphere theorems on a quaternionic contact
manifold of dimension bigger than seven , (with Alexander Petkov
and Dimiter Vassilev), to appear in J. Spectral Theory.
arXiv:1303.0409.
- The quaternionic Heisenberg group and Heterotic String
Solutions with non-constant dilaton in dimensions 7 and 5 , (with
Marisa Fernandez, Luis Ugarte, Dimiter Vassilev), Comm. Math. Phys. 339
(2015), no. 1, 199–219.
arXiv:arXiv:1410.4130.
- Non-Kaehler Heterotic String Solutions with non-zero fluxes
and non-constant dilaton , (with Marisa Fernandez, Luis Ugarte,
Dimiter vassilev), J. High Energy Physics (JHEP) 06 (2014) 073;
arXiv:arXiv:1402.6107.
- Vanishing theorems on $(l|k)$-strong Kaehler manifolds with
torsion, (with George Papadopoulos), Adv. Math.
237 (2013), 147-164.
arXiv: arXiv:1202.6470 .
- An Obata type result for the first eigenvalue of the
sub-Laplacian on a CR manifold with a divergence free torsion ,
(with Dimiter Vassilev), J. Geom 103, 3 (2012),
475-504.
arXiv: arXiv:1203.5812.
- An Obata-type theorem on a three-dimensional CR
manifold,(with Dimiter Vassilev), Glasgow Math. J.,
56 (2014), 283-294.
arXiv: arXiv:1208.1040.
- The sharp lower bound of the first eigenvalue of the
sub-Laplacian on a quaternionic contact manifold in dimension
seven (with Alexander Petkov and Dimiter Vassilev),
Nonlinear Analysis-Theory, 93 (2013), 51-61.
arXiv:arXiv:1210.6932.
- The sharp lower bound of the first eigenvalue of the sub-Laplacian on a
quaternionic contact manifold ,
(with Alexander Petkov and Dimiter Vassilev), J. Geom. Analysis, 24
(2014), no. 2, 595-612.
arXiv:arXiv:1112.0779.
- The optimal constant in the $L^2$ Folland-Stein inequality on the quaternionic Heisenberg group,
(with I. Minchev and D. Vassilev), Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. XI (2012), 635-652;
arXiv:arXiv:1009.2978.
- Quaternionic Kaehler and Spin(7) metrics arising from quaternionic contact Einstein structures,
(with L. C. de Andres, M. Fernandez, J. A. Santisteban, L. Ugarte and D. Vassilev), Annali di
matematica Pura ed Applicata, 193, 1 (2014), 261-290.
arXiv:arXiv:1009.2745.
- Bianchi type A hyper-symplectic and hyper-K\"ahler metrics in 4D , (with
Luis C. de Andre's, Marisa Ferna'ndez, Jose A. Santisteban, Luis Ugarte and Dimiter Vassilev),
Class. Quant. Grav. 29 (2012), 025003.
arXiv:arXiv:1102.1518.
- Compact supersymmetric solutions of the heterotic equations of motion
in dimensions 7 and 8, (with M. Ferna'ndez, L. Ugarte and R. Villacampa),
Adv. Theor. Math. Phys., (2011) 15, 245-284.
arXiv:0806.4356.
- HKT manifolds with holonomy SL(n,H),
(with A. Petkov), International Mathematics Research Notices, 2012, 16, 3779--3799;
arXiv:arXiv:1010.5052.
- The twistor space of a quaternionic contact manifold,
(with J. Davidov and I. Minchev), Quart. J. Math. 63 (2012), no. 4,
873-890.
arXiv:arXiv:1010.4994.
- Heterotic supersymmetry, anomaly cancellation and equations of motion,
Phys. Lett. B685 (2010), 190-196.
arXiv:0908.2927.
- Quaternionic contact manifolds with a closed fundamental 4-form,
(with D. Vassilev), Bull. London Math. Soc., 42 (6) (2010), 1021–1030.
arXiv:0810.3888,.
- Conformal quaternionic contact curvature and the local sphere theorem,
(with D. Vassilev), Journal de Mathe'matiques Pures et Applique'es (JMPA) 93 (2010), 277-307.
arXiv:0707.1289.
- Extremals for the Sobolev inequality on the seven dimensional
quaternionic Heisenberg group and the quaternionic contact
Yamabe problem, (with I. Minchev and D. Vassilev), J. Eur. Math. Soc. (JEMS) 12 (2010), 1041–1067.
math.DG/0703044
- Compact supersymmetric solutions of the heterotic equations of motion
in dimension 5, (with M. Ferna'ndez, L. Ugarte and R. Villacampa), Nuclear Physics B820 (2009), 483-502.
arXiv:0811.2137.
- Non-Kaehler Heterotic String Compactifications with non-zero fluxes
and constant dilaton, (with M. Ferna'ndez, L. Ugarte and R. Villacampa),
Comm. Math. Phys. 288 (2009), 677-697.
arXiv:0804.1648
- Conformal Paracontact curvature and the local flatness theorem,
(with D. Vassilev and S. Zamkovoy), Geom. Dedicata 144 (2010), 79-100.
arXiv:0707.3773
- Curvature decomposition of $G_2$ manifolds (with R. Cleyton),
J. Geom. Phys. 58 (2008), 1429-1449.
math.DG/0702289.
- Nearly hypo structures and compact Nearly K\"ahler 6-manifolds with
conical singularities
(with M. Fernandez, V. Munos and L. Ugarte), J. London Math. Soc. 78 (2008), 580-604.
math.DG/0602160.
- Conformal equivalence between certain geometries in dimension
6 and 7, (with R. Cleyton), Math. Res. Lett. 15 (2008), 631-641.
math.DG/0607487.
- Twistor and Reflector Spaces of Almost Para-Quaternionic Manifolds,
(with I. Minchev and S. Zamkovoy), to
appear in "Handbook of pseudo-Riemannian Geometry and
Supersymmetry" to be published by the European Mathematical
Society EMS in the series IRMA Lectures in Mathematics and
Theoretical Physics.
math.DG/0511657.
- SU(3)-structures on submanifolds of a Spin(7)-manifold,
(with F. Martin Cabrera), Diff. Geom. Appl. 26 (2008), 113-132.
math.DG/0510406.
- On the geometry of closed $G_2$-structures, (with R.
Cleyton), Commun. Math. Phys., 270 (2007), 53--67.
math.DG/0306362.
- Locally conformal parallel $G_2$ and $Spin(7)$ manifolds,
(with M. Parton and P. Piccinni), Math. Res. Lett., 13 (2006), 167--177.
math.DG/0509038.
- Hyper-ParaHermitian manifolds with torsion, (with V. Tsanov and S. Zamkovoy), J. Geom. Phys. 56, (2006), 670-690.
math.DG/0405585.
- Para-Hermitian and Para-Quaternionic manifolds, (with S. Zamkovoy), Diff. Geom. Appl. 23 (2005), 205-234.
math.DG/0310415.
- $SU(3)$-instantons and $G_2, Spin(7)$ heterotic string solitons, (with P. Ivanov), Commun. Math. Phys. 259 (2005), 79-102.
math.DG/0312094.
- Connection with torsion, parallel spinors and geometry of Spin(7) manifolds, Math. Res. Lett. 11 (2004), 171--186.
math.DG/0111216.
- Quaternionic K\"ahler and hyperK\"ahler manifolds with torsion and twistor spaces, (with I. Minchev), J. reine angew. Math. 567 (2004), 215-233,
math.DG/0112157.
- Deformations of generalized calibrations and compact non-Kahler
manifolds with vanishing first Chern class, (with J. Gutowski and
G. Papadopoulos), Asian J. Math. 7 (2003), 39-80,
math.DG/0205012.
- Almost contact manifolds, connections with torsion, and parallel spinors, (with Th. Friedrich), J. reine angew. Math.
559 (2003), 217-236,
math.DG/0111131.
- Killing spinor equations in dimension 7 and geometry of integrable $G_2$ manifolds, (with Th. Friedrich), J. Geom. Phys.
48 (2003), 1-11,
math.DG/0112201
- Weyl structure with positive Ricci tensor, (with B. Alexandrov), Diff. Geom. Appl. 18 (2003), 343-350,
math.DG/9902033.
- Parallel spinors and connections with skew-symmetric torsion in string theory, (with Th. Friedrich), Asian J. Math. 6 (2002), 303-336,
math.DG/0102142.
- Geometry of Quaternionic Kaehler connections with
torsion, J. Geom. Phys. 41 (2002), 235-257,
math.DG/0003214.
- A no-go theorem for string warped compactification, (with G.Papadopoulos), Phys. Lett. B 497 (2001) 309-316,
hep-th/0008232.
- Vanishing theorems and String Backgrounds, (with G.Papadopoulos), Class. Quantum Gravity 18 (2001), 1089-1110,
math.DG/0010038.
- Harmonic spinors of Dirac operator of connection with torsion in dimension 4, (with P.Dalakov), Class. Quantum Gravity 18 (2001), 253-265, [PS]
- Vanishing theorems on Hermitian manifolds, (with B. Alexandrov), Diff. Geom. Appl. 14 (3) (2001), 251-265,
math.DG/9901090.
- The Dolbeault operator on Hermitian spin surfaces, (with. B. Alexandrov and G. Grantcharov), Ann. Inst. Fourier (Grenoble) 51 1 (2001), 221-235,
math.DG/9902005.
- Harmonic and holomorphic 1-forms on compact balanced Hermitian manifold (with G.Ganchev), Diff. Geom. Appl. 14 (1) (2001), 79-93. [PS]
- Holomorphic and Killing vector fields on compact balanced
Hermitian manifolds, (with G.Ganchev), Int. J. Math. 11 (2000), 15-28. [PS]
- Dirac operators on Hermitian spin surfaces (with B. Alexandrov), Ann. Glob. Anal. Geom. 18 (2000), 529-539.
[PS]
- Einstein-Weyl structures on certain compact conformal
manifolds, Quart. J. Math. (Oxford) (2) 50 (1999), 457-462. [PS]
- Orthogonal complex structures on certain Riemannian 6-manifolds, (with V. Apostolov and G. Grantcharov), Diff. Geom. Appl. 11 (1999) 279-296. [PS]
- Riemannian manifold in which the skew-symmetric curvature
operator has pointwise constant eigenvalues, (with I.Petrova),
Geom. Dedicata 70 (1998), 269-282. [PS]
- Curvature properties of twistor spaces of quaternionic Kaehler manifolds, (with B. Alexandrov and G. Grantcharov), J. Geom. 62 (1998), 1-12. [PS]
- An estimate for the first eigenvalue of the Dirac operator on compact Riemannian spin manifold admitting parallel one form,
(with B. Alexandrov and G. Grantcharov), J. Geom. Phys. 28 (1998), 263-270. [PS]
- Hermitian structures on twistor spaces, (with V. Apostolov and G. Grantcharov), Ann. Glob. Anal. Geom. 16 (1998), 291-308. [PS]
- Compact Hermitian surfaces of constant antiholomorphic
sectional curvature, (with V.Apostolov and G.Ganchev), Proc.
Amer. Math. Soc. 125 (1997), 3705-3714. [PS]
- Einstein-Hermitian surfaces and Hermitian Einstein-Weyl
structures in dimension 4, (with P.Gauduchon), Mathematische
Zeitschrift 226 (1997), 317-326. [PS]
- On the fundamental theorem for non-degenerate complex affine hypersurface immersions, Monatshefte Mathematics 123 (1997), 321-336. [PS]
- Riemannian manifolds in which certain curvature operator has constant eigenvalues along each circle, (with I.Petrova),
Ann. Glob. Anal. Geom. 15 (1997), 157-171. [PS]