Applications of Local Algebras of Differentiable Manifolds
| LEADER | caa a22 4500 | ||
|---|---|---|---|
| 001 | 60552257X | ||
| 003 | CHVBK | ||
| 005 | 20210128100745.0 | ||
| 007 | cr unu---uuuuu | ||
| 008 | 210128e20150601xx s 000 0 eng | ||
| 024 | 7 | 0 | |a 10.1007/s10958-015-2381-x |2 doi |
| 035 | |a (NATIONALLICENCE)springer-10.1007/s10958-015-2381-x | ||
| 245 | 0 | 0 | |a Applications of Local Algebras of Differentiable Manifolds |h [Elektronische Daten] |c [M. Jukl, L. Juklová, J. Mikeš] |
| 520 | 3 | |a This paper is devoted to some applications of local algebras in geometry. We recall some properties of free finite-dimensional modules over local algebras of a certain type, so-called A-spaces in the sense of Macdonald, where A denotes the algebra considered. Using these properties, we study bilinear, special symmetric, and symplectic forms on A-spaces and obtain some their invariants. Properties of these spaces are used in the study of projective Klingenberg spaces over the ring A. We present fundamental notions of points and subspaces of projective Klingenberg spaces. We examine the neighborship property of points and homologies. We obtain a criterion of projective equivalence of quadrics on these spaces. | |
| 540 | |a Springer Science+Business Media New York, 2015 | ||
| 700 | 1 | |a Jukl |D M. |u Dept. of Algebra and Geometry, Faculty of Science, Palacky University, Olomouc, Czech Republic |4 aut | |
| 700 | 1 | |a Juklová |D L. |u Dept. of Algebra and Geometry, Faculty of Science, Palacky University, Olomouc, Czech Republic |4 aut | |
| 700 | 1 | |a Mikeš |D J. |u Dept. of Algebra and Geometry, Faculty of Science, Palacky University, Olomouc, Czech Republic |4 aut | |
| 773 | 0 | |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 207/3(2015-06-01), 485-511 |x 1072-3374 |q 207:3<485 |1 2015 |2 207 |o 10958 | |
| 856 | 4 | 0 | |u https://doi.org/10.1007/s10958-015-2381-x |q text/html |z Onlinezugriff via DOI |
| 898 | |a BK010053 |b XK010053 |c XK010000 | ||
| 900 | 7 | |a Metadata rights reserved |b Springer special CC-BY-NC licence |2 nationallicence | |
| 908 | |D 1 |a research-article |2 jats | ||
| 949 | |B NATIONALLICENCE |F NATIONALLICENCE |b NL-springer | ||
| 950 | |B NATIONALLICENCE |P 856 |E 40 |u https://doi.org/10.1007/s10958-015-2381-x |q text/html |z Onlinezugriff via DOI | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Jukl |D M. |u Dept. of Algebra and Geometry, Faculty of Science, Palacky University, Olomouc, Czech Republic |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Juklová |D L. |u Dept. of Algebra and Geometry, Faculty of Science, Palacky University, Olomouc, Czech Republic |4 aut | ||
| 950 | |B NATIONALLICENCE |P 700 |E 1- |a Mikeš |D J. |u Dept. of Algebra and Geometry, Faculty of Science, Palacky University, Olomouc, Czech Republic |4 aut | ||
| 950 | |B NATIONALLICENCE |P 773 |E 0- |t Journal of Mathematical Sciences |d Springer US; http://www.springer-ny.com |g 207/3(2015-06-01), 485-511 |x 1072-3374 |q 207:3<485 |1 2015 |2 207 |o 10958 | ||