EFSTATHIOS VASSILIOU
publications - δημοσιεύσεις
Research articles
and books
Christoffel symbols and connection forms on
infinite-dimensional fibre
bundles. Bull. Soc. Math.
Grece
15 (1974), 115-122.
On the holonomy
theorem. Prakt. Akad.
Athenon
51 (1976), 463-467.
Connections
on 1-jet principal fibre
bundles. Rendiconti
Sem. Mat. Univ. Padova 56
(1976), 25-33.
On
related connections and 1-jet principal fibre bundles. Preprint Ser.
1977/78, No 7, Matematisk
Institut,
Aarhus Univ. pp. 17
Affine
transformations of banachable
bundles of frames. Math. Balkanika 6:46
(1978), 291-295.
(f,\phi,h)-related connections and Liapunoff's theorem. Rend. Circ.Mat.Palermo,
Ser. II,
27 (1978), 337-341.
On the
canonical connection of the 1-jet bundle
of a principal bundle. Bull. Soc. R. S.
Liege 47
(1978), 5-11.
On the
infinite-dimensional holonomy
theorem. Bull. Soc. R. S. Liege
47 (1978), 223-228.
On affine
transformations of banachable
bundles. Colloq.
Math. 44 (1981), 117-123.
Conjugate
connections
and differential equations. Colloq. Math. Soc. J. Bolyai 31
(1982), 184-804
Sur
les connexions plates d' un fibre
banachique. C. R.
Acad. Sci. Paris, Ser.
I Mat.
295 (1982), 353-356.
Transformations
of linear connections. Period. Math. Hungar.
13
(1982) 289-308.
Flat
bundles and holonomy
homomorphisms. Manuscripta
Math. 42 (1983), 161-170.
Transformations
of linear connections II. Period. Math.
Hungar. 17 (1986), 1-11.
Total
differential equations and the structure
of fibre bundles. Bull. Greek Math.
Soc. 27 (1986), 149-159.
Floquet-type connections on principal
bundles. Tensor 43
(1986), 189-195.
On affine
extensions of the holonomy
homomorphisms of flat
principal bundles. Colloq. Math. 59
(1990), 263-268.
Some
applications of conjugate connections. Proc. 3rd
International Congress of
Geometry, Thessaloniki 1991
( N.
Stefanidis Ed.), 434-442,
Aristotle Univ.
Thessaloniki.
Characterizations
of flat principal bundles via
total differentiation. Tensor 52
(1993), 1-6.
On a
class of principal bundles over symplectic
bases in Euclidean spaces. Demonstratio Math. 26
(1993), 75-92.
On a
type of total
differential equations in Frechet
spaces. (with G.Galanis).
Proc. 24th Conf.
Geom. Topol., Timisoara (1994),
119-128.
From
principal connections to connections on
principal sheaves. Anal.Stiint. Univ.
"Al. I. Cuza"
Iasi, 42 (1996), 149-160.
Transformations
of sheaf connections. Balkan J. Geom.
Appl. 1 (1996), 117-133.
On the
triviality of homogeneous bundles. Proc. 4th
Intern. Congress of
Geometry, Thessaloniki
1966
(A. Artemiadis
- N. Stefanidis Eds),417-423,
Giachoudis - Giapoulis
Publishers.
A
generalized frame
bundle for certain
Frechet
vector bundles and linear connections (with G. Galanis). Tokyo
J. Math. 20 (1997), 129-137.
On the
geometry of the sheaf of frames of a
vector sheaf. Proceedings of
the Workshop on Global Analysis,
Differential
Geometry and
Lie Algebras ( Thessaloniki 1995),
141-146, BSG
Proceedings 1, Geometry Balkan Press, Bucharest, 1997.
A. Mallios' A-connections as
connections on principal sheaves.
Note
Mat. 14 (1994), 237-249
(1997).
Flat
principal sheaves.
Semin. de Mecanica,
Univ. Timisoara, 55 (1997), 1-34.
Connections
on principal sheaves. New Developments
in Differential
Geometry, Budapest 1996 (J. Szenthe
Ed.),
459-484,
Kluwer Acad. Publ., Dordrect,
1998 .
A Floquet-Liapunov
theorem in Frechet spaces (with G. Galanis).
Ann. Scuola
Norm. Sup. Pisa 27
(1999), 427-436
Topological
algebras and abstract geometry. J. Math. Sci.
(continuation of J. Soviet
Math.), 95 (1999), 2669-2680
On certain flat Frechet
principal bundles
and their holonomy homomorphisms
(with
G. Galanis). Algebras Groups
Geom. 17
(2000), 105-122.
On the
geometry of associated
sheaves. Bull. Greek Math.Soc.
44 (2000), 157-170..
Connections
on A-frame bundles (with M. Papatriantafillou). Sci. Math. Jpn.
54 (2001),
29-38.
On
associated vector
bundles (with
G. Galanis). Algebras Groups Geom. 19
(2002), 277-288.
On the cohomology and
geometry of principal sheaves. Demonstratio Math. 26
(2003),
301-317.
Universal
connections on Lie groupoids (with A. Nikolopoulos). Int. J. Math. Math.
Sci. 23 (2003), 1465-1480.
Vector
sheaves
associated with principal sheaves. Proceedings of
the Workshop on Global Analysis,
Differential
Geometry and
Lie Algebras ( Thessaloniki 2001),
197-206, BSG
Proceedings 10,
Geometry Balkan Press, Bucharest,
2004.
Remarks
on the cohomological
classification of certain Frechet fiber bundles (with
G. Galanis). Balkan J. Geom.
Appl. 9 (2004),
23-31.
A
generalized second
order frame bundle for Frechet
manifolds (with
C. T. Dodson and
G. Galanis). J. Geom. Phys. 55
(2005), 291-305.
Isomorphism
classes
for Banach bundle structures
of
second tangents (with
C. T. Dodson and G. Galanis). Math.
Proc. Cambridge Philos. Soc. 141 (2006), 489-496.
Grassmann sheaves and
the classification of vector sheaves (with M. Papatriantafillou).
Demonstratio Mathematica
46
(2013), 427-436.( arXiv:0905.0807[math.CT])
Local
connection forms revisited. Rend. Circ. Mat.
Palermo 62 (2013),
393-408. (arXiv:1305.6471[math.DG])
Geometry of
Principal Sheaves. Mathematics and
Its Applications
Vol. 587, Springer,
Dordrecht ( 2005), pp.
xiv+444.
Geometry
in
a Frechet Context: A
Projective Limit approach (with C.T.J.
Dodson and G. Galanis).
London Math. Soc. Lecture Note
Series (in
press), pp. xii+302.
see
also books and notes (in greek)
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