The following information was submitted:
Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 88-326
Full Name: Laura Ciupala
Position: Associate Professor
Age: ON
Sex: Female
Address: Brasov, Iuliu Maniu Str., no. 50
Country: ROMANIA
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E-mail address: laura_ciupala@yahoo.com
Other E-mails: laura.ciupala@unitbv.ro
Title of the Paper: About Three Important Transformations Groups
Authors as they appear in the Paper: Monica A.P. Purcaru, Mirela Tarnoveanu, Laura Ciupala
Email addresses of all the authors: m.purcaru@yahoo.com, mi_tarnoveanu@yahoo.com, laura_ciupala@yahoo.com, laura.ciupala@unitbv.ro
Number of paper pages: 11
Abstract: In the present paper we introduce the concepts of conformal metrical d-structure and of conformal metrical N-linear connection with respect to the conformal metrical d-structure, corresponding to an 1-form on a generalized Hamilton space. We determine the set of all conformal metrical N-linear connections in the case when the nonlinear connection is arbitrary and we find important examples and particular cases. We find the transformations group of these connections. We study the role of the torsion d-tensor fields $T^i_{\;jk}, S^i_{\;jk}$ and $S_i^{\;jk}$ in this theory, especially in the determination of the set of all semisymmetric conformal metrical N-linear connections with respect to the conformal metrical d-structure, corresponding to the same nonlinear connection N. We give the transformations group of these connections and other two important groups and we find their remarkable invariants. Finally we determine the set of all metrical N-linear connection!
s in the case when the nonlinear connection is arbitrary, we give important examples and particular cases and for the case when the nonlinear connection is fixed we find the transformations group of these connections.
Keywords: Second order cotangent bundle, Nonlinear connection, N-linear connection, Metrical d-structure, Conformal metrical d-structure, Conformal metrical N-linear connection, Semisymmetric conformal metrical N-linear connection, Metrical N-linear connection, Transformations group, Subgroup, Invariants
EXTENSION of the file: .pdf
Special (Invited) Session: On a Remarkable Transformations Group
Organizer of the Session: 646-457
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