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| Ultima descărcare din IBN: 2020-09-22 15:09 |
| Căutarea după subiecte similare conform CZU |
| 514.13+514.772.22+528.3 (1) |
| Геометрия (103) |
| Дифференциальная геометрия. Алгебраические и аналитические методы в геометрии (26) |
| Геодезия. Топографо-геодезиче¬ские работы. Аэрокосмическая съемка и фотограмметрия. Дистанционное зондирование. Картография (112) |
 SM ISO690:2012SZIRMAI, Jeno. Interior angle sums of geodesic triangles in S2×R and H2×R geometries. In: Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica, 2020, nr. 2(93), pp. 44-61. ISSN 1024-7696. |
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 Buletinul Academiei de Ştiinţe a Republicii Moldova. Matematica |
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| Numărul 2(93) / 2020 / ISSN 1024-7696 /ISSNe 2587-4322 | ||||||
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| CZU: 514.13+514.772.22+528.3 | ||||||
| MSC 2010: 53A20, 53A35, 52C35, 53B20. | ||||||
| Pag. 44-61 | ||||||
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In the present paper we study S2×R and H2×R geometries, which are homogeneous Thurston 3-geometries. We analyse the interior angle sums of geodesic triangles in both geometries and we prove that in S2×R space it can be larger than or equal to and in H2×R space the angle sums can be less than or equal to . This proof is a new direct approach to the issue and it is based on the projective model of S2×R and H2×R geometries described by E. Moln´ar in [7]. |
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| Cuvinte-cheie Thurston geometries, S²×R, H²×R geometries, geodesic triangles, interior angle sum |
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