Isotrope Geometrie des Raumes

Sachs, H.

doi:10.1007/978-3-322-83785-1

Cited by 82 publications

(90 citation statements)

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“…Differential geometry of isotropic spaces have been introduced by Strubecker (1942), Sachs (1978Sachs ( , 1990aSachs ( , 1990b, Palman (1979) and others. Especially the reader can find a well bibliography for isotropic planes and isotropic 3-spaces in Sachs (1990aSachs ( , 1990b.…”

Section: Introductionmentioning

confidence: 99%

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Classification Results on Surfaces in The Isotropic 3‐Space

Aydın¹

2016

AKU-J. Sci. Eng.

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The isotropic 3-space which is one of the Cayley-Klein spaces is obtained from the Euclidean space by substituting the usual Euclidean distance with the isotropic distance. In the present paper, we give several classifications on the surfaces in with constant relative curvature (analogue of the Gaussian curvature) and constant isotropic mean curvature. In particular, we classify the helicoidal surfaces in with constant curvature and analyze some special curves on these.

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Section: Introductionmentioning

confidence: 99%

“…Especially the reader can find a well bibliography for isotropic planes and isotropic 3-spaces in Sachs (1990aSachs ( , 1990b.…”

Section: Introductionmentioning

confidence: 99%

Classification Results on Surfaces in The Isotropic 3‐Space

Aydın¹

2016

AKU-J. Sci. Eng.

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“…The normal field of M is always the isotropic vector. The coefficients L, M, N of the second fundamental form of M are calculated with respect to the normal field of M (for details, see [34], p. 155).…”

Section: Such Affine Transformations Are Called Isotropic Congruence mentioning

confidence: 99%

“…Differential geometry of isotropic spaces has been introduced by K. Strubecker [38], H. Sachs [33][34][35], D. Palman [28] and others.…”

Section: Introductionmentioning

confidence: 99%

Rotational surfaces in isotropic spaces satisfying weingarten conditions

Öǧrenmiş

2016

Open Physics

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“…Основні положення ізотропної геометрії, яка була заснована Струбеккером знаходяться в монографії [13]. Розробкою нового класу плоских сіток для побудови дискретних поверхонь в ізотропному просторі, що за довольняють естетичним вимогам в архітектурі займа лись автори статті [14].…”

Section: аналіз літературних даних і постановка проблемиunclassified

Developing an integrated approach to formation of curves and surfaces of real space based on isotropic characteristics

Ausheva¹

2014

TAPR

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Isotrope Geometrie des Raumes

Cited by 82 publications

References 0 publications

Classification Results on Surfaces in The Isotropic 3‐Space

Classification Results on Surfaces in The Isotropic 3‐Space

Rotational surfaces in isotropic spaces satisfying weingarten conditions

Developing an integrated approach to formation of curves and surfaces of real space based on isotropic characteristics

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