Intrinsic Equations for a Generalized Relaxed Elastic Line on an Oriented Surface
Year 2010,
Volume: 39 Issue: 2, 197 - 203, 01.02.2010
Ali Görgülü
Cumali Ekici
References
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Blaschke, W. Vorlesungen ¨uber Differential Geometrie I, (Verlag from Julius Springer, Berlin, 1930).
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Carmo, M. P. Differential Geometry of Curves and Surfaces (Prectice-Hall, Inc., Englewood Cliffs, New Jersey, 1976).
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Capovilla, R., Chryssomalakos, C. and Guven, J. Hamiltonians for curves, J. Phys. A: Math. Gen. 35, 6571–6587, 2002.
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Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica (2nd ed. Boca Raton, FL: CRC Press, 1997).
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Languer, J. Recursion in Curve Geometry, New York J. Math. 5, 25–51, 1999.
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Manning, G. S. Relaxed elastic line on a curved surface, Quart. Appl. Math. 45 (3), 515–527, 1987.
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Millman, R and Parker, G. Elements Of Differential Geometry (Prectice-Hall Inc., Engle- wood Cliffs, New Jersey,1977).
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Nickerson, H. K. and Manning, G. S. Intrinsic equations for a relaxed elastic line on an oriented surface, Geometriae Dedicate 27, 127–136, 1988.
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Oprea, J. Differential Geometry and Its Applications (Prectice-Hall Inc., New Jersey, 1997).
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O’Neill, B. Elementary Differential Geometry (Academic Pres Inc., New York, 1966).
Intrinsic Equations for a Generalized Relaxed Elastic Line on an Oriented Surface
Year 2010,
Volume: 39 Issue: 2, 197 - 203, 01.02.2010
Ali Görgülü
Cumali Ekici
References
-
Blaschke, W. Vorlesungen ¨uber Differential Geometrie I, (Verlag from Julius Springer, Berlin, 1930).
-
Carmo, M. P. Differential Geometry of Curves and Surfaces (Prectice-Hall, Inc., Englewood Cliffs, New Jersey, 1976).
-
Capovilla, R., Chryssomalakos, C. and Guven, J. Hamiltonians for curves, J. Phys. A: Math. Gen. 35, 6571–6587, 2002.
-
Gray, A. Modern Differential Geometry of Curves and Surfaces with Mathematica (2nd ed. Boca Raton, FL: CRC Press, 1997).
-
Languer, J. Recursion in Curve Geometry, New York J. Math. 5, 25–51, 1999.
-
Manning, G. S. Relaxed elastic line on a curved surface, Quart. Appl. Math. 45 (3), 515–527, 1987.
-
Millman, R and Parker, G. Elements Of Differential Geometry (Prectice-Hall Inc., Engle- wood Cliffs, New Jersey,1977).
-
Nickerson, H. K. and Manning, G. S. Intrinsic equations for a relaxed elastic line on an oriented surface, Geometriae Dedicate 27, 127–136, 1988.
-
Oprea, J. Differential Geometry and Its Applications (Prectice-Hall Inc., New Jersey, 1997).
-
O’Neill, B. Elementary Differential Geometry (Academic Pres Inc., New York, 1966).
There are 10 citations in total.