The Wälsch invariant of line congruences in three-dimensional projective space P 3 and their Laplace transforms

Jiří Klapka

Archivum Mathematicum (1972)

  • Volume: 008, Issue: 1, page 57-62
  • ISSN: 0044-8753

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Klapka, Jiří. "Об инварианте Вэльша конгруэнции прямых трехмерного проективного пространства $P_3$ и об их преобразованиях Лапласа." Archivum Mathematicum 008.1 (1972): 57-62. <http://eudml.org/doc/15918>.

@article{Klapka1972,
author = {Klapka, Jiří},
journal = {Archivum Mathematicum},
language = {rus},
number = {1},
pages = {57-62},
publisher = {Department of Mathematics, Faculty of Science of Masaryk University, Brno},
title = {Об инварианте Вэльша конгруэнции прямых трехмерного проективного пространства $P_3$ и об их преобразованиях Лапласа},
url = {http://eudml.org/doc/15918},
volume = {008},
year = {1972},
}

TY - JOUR
AU - Klapka, Jiří
TI - Об инварианте Вэльша конгруэнции прямых трехмерного проективного пространства $P_3$ и об их преобразованиях Лапласа
JO - Archivum Mathematicum
PY - 1972
PB - Department of Mathematics, Faculty of Science of Masaryk University, Brno
VL - 008
IS - 1
SP - 57
EP - 62
LA - rus
UR - http://eudml.org/doc/15918
ER -

References

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  1. C. H. Фияyкoв, Teopuя кoнгpyэнцuй, Mocквa 1950 
  2. Wälsch Emil, Sur le premier invariant différentiel projectif des congruences rectilignes, C. R. 118, Paris 1894, str. 736--738 
  3. Švec Alois, Projective differential geometry of line congruences, Praha 1965, stг. 35 (1965) 
  4. Horák Vladimír, Contribution á l'étude des transformations développables des congruences de droites et de leurs transformées de Laplace, Czechoslovak Mathematical Journal 17 (92), Pгaha 1967, str. 347-371 (1967) MR0218991
  5. E. T. Ивлeв, О nape лuнeйчamыx noвepxнocmeй в mpоxмepнoм npoeкmuвнoм npocmpaнcmвe, Гeoмeтpичecкий cбopник 2, Tпyды Toмcкoгo гoc. yнивepcитeтa, cepия мex.-мaтeм, Toмcк 161 (1962), 3-12. (1962) 
  6. Oбypкa O., О napax лuнeйчaшыx noвepxнocmeü, Matematickofyzikálny časopis SAV 13, 4, 1963, str. 275-302. (1963) 
  7. Vala J., Über die Regelflächenpaare mit einer nicht abwickelbaren Quasifleknodalfläche, Czechoslovak Mathematical Journal 18 (93), Praha 1968, str. 527-559 a další pгáce. (1968) Zbl0162.53203MR0238199

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