지원사업
학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
커뮤니티
연구자들이 자신의 연구와 전문성을 널리 알리고, 새로운 협력의 기회를 만들 수 있는 네트워킹 공간이에요.
초록· 키워드
오류제보하기
In this paper, we study the timelike Bertrand curves in Minkowski 3-space. Since the principal normal vector of a timelike curve is spacelike, the Bertrand mate curve of this curve can be a timelike curve, a spacelike curve with spacelike principal normal or a Cartan null curve, respectively. Thus, by considering these three cases, we get the necessary and sufficient conditions for a timelike curve to be a Bertrand curve. Also we give the related examples.
목차
등록된 정보가 없습니다.
참고문헌 (15)
참고문헌 신청
H. Balgetir / 2004 / Bertrand curves for non-null curves in 3-dimensional Lorentzian space / Hadronic J 27(2):229~236
H. Balgetir / 2004 / Null Bertrand curves in Minkowski 3-space and their characterizations / Note Mat 23(1):7~13
J. M. Bertrand / 1850 / Memoire sur la theorie des courbes a double courbure / Comptes Rendus 36
W. B. Bonnor / 1969 / Null curves in a Minkowski space-time / Tensor 20:229~242
W. B. Bonnor / 1985 / Curves with null normals in Minkowski space-time, A random walk in relativity and cosmology / Wiley Easten Limited :33~47
H. Balgetir / 2004 / Null Bertrand curves in Minkowski 3-space and their characterizations / Note Mat 23(1):7~13
J. M. Bertrand / 1850 / Memoire sur la theorie des courbes a double courbure / Comptes Rendus 36
W. B. Bonnor / 1969 / Null curves in a Minkowski space-time / Tensor 20:229~242
W. B. Bonnor / 1985 / Curves with null normals in Minkowski space-time, A random walk in relativity and cosmology / Wiley Easten Limited :33~47
함께 읽어보면 좋을 논문
논문 유사도에 따라 DBpia 가 추천하는 논문입니다. 함께 보면 좋을 연관 논문을 확인해보세요!
-
SOME INTEGRAL CURVES ASSOCIATED WITH A TIMELIKE FRENET CURVE IN MINKOWSKI 3-SPACE
호남수학학술지
2017 .01
-
NOTE ON BERTRAND B-PAIRS OF CURVES IN MINKOWSKI 3-SPACE
호남수학학술지
2018 .01
-
Directional associated curves of a null curve in Minkowski 3-space
대한수학회보
2015 .01
-
ON THE SHAPE OF MAXIMUM CURVE OF e<sup>az<sup>2</sup>+bz+c</sup>
Journal of applied mathematics & informatics
2017 .01
-
SMARANDACHE CURVES OF SOME SPECIAL CURVES IN THE GALILEAN 3-SPACE
호남수학학술지
2015 .01
-
BERTRAND CURVES AND RAZZABONI SURFACES IN MINKOWSKI 3-SPACE
대한수학회보
2015 .01
-
Curves orthogonal to a vector field in Euclidean spaces
대한수학회지
2021 .11
-
On Interpretation of Hyperbolic Angle
Kyungpook Mathematical Journal
2020 .01
-
NON-DEVELOPABLE RULED SURFACES WITH TIMELIKE RULING IN MINKOWSKI 3-SPACE
대한수학회보
2015 .01
-
Associated curves of charged particle moving with the effect of magnetic field
대한수학회논문집
2023 .04
-
Frenet type formulae for $2$, $3$-planes in Minkowski space $\mathbb L^{6}$
한국수학논문집
2019 .01
-
SIMILAR AND SELF-SIMILAR CURVES IN MINKOWSKI n-SPACE
대한수학회보
2015 .01
-
Biharmonic spacelike curves in Lorentzian Heisenberg space
대한수학회논문집
2018 .01
-
NORMAL SECTION CURVES AND CURVATURES
호남수학학술지
2017 .01
-
HARMONIC CURVATURE FUNCTIONS OF SOME SPECIAL CURVES IN GALILEAN 3-SPACE
호남수학학술지
2019 .01
-
On slant curves in $S$-manifolds
대한수학회논문집
2018 .01
-
CONSTANT CURVATURES AND SURFACES OF REVOLUTION IN L<sup>3</sup>
호남수학학술지
2016 .01
-
A non-Newtonian approach in differential geometry of curves: multiplicative rectifying curves
대한수학회보
2024 .05
-
A vanishing theorem for reducible space curves and the construction of smooth space curves in the Range C
대한수학회논문집
2019 .01
-
A Characterization of Involutes and Evolutes of a Given Curve in E^n
Kyungpook Mathematical Journal
2018 .01
이 논문의 저자 정보
최근 본 자료
댓글(0)
0