Surveys in Mathematics and its Applications

ISSN 1842-6298 (electronic), 1843-7265 (print)
 Volume 16 (2021), 251 -- 257

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ON A CLASS OF ALMOST PARACONTACT STRUCTURES ON T2M

Marcel Roman and Adrian Sandovici

Abstract. A new class of almost paracontact structures on second order tangent bundle built on a Riemannian space is defined and studied in this paper. In particular, characterizations for the integrability and normality of this class of almost paracontact structures are given. Also, compatible linear connections with this class of almost paracontact structures are introduced and certain characterization of them is obtained.

2020 Mathematics Subject Classification: 53B40; 53C60; 58B20
Keywords: Second order tangent bundle; almost paracontact structure; linear connection.

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Marcel Roman
Department of Mathematics,
"Gheorghe Asachi" Technical University,
B-dul Carol I nr. 11, 700506, Iaşi, Romania.
e-mail: marcel.roman@tuiasi.ro

Adrian Sandovici
Department of Mathematics,
"Gheorghe Asachi" Technical University,
B-dul Carol I nr. 11, 700506, Iaşi, Romania.
e-mail: adrian.sandovici@tuiasi.ro

http://www.utgjiu.ro/math/sma