Geodesic
Basic classes of timelike general rotational surfaces in the four-dimensional Minkowski space
Filomat, Tome 37 (2023) no. 25, p. 8505

Voir la notice de l'article provenant de la source eLibrary of Mathematical Institute of the Serbian Academy of Sciences and Arts

DOI

In the present paper, we consider timelike general rotational surfaces in the Minkowski 4- space which are analogous to the general rotational surfaces in the Euclidean 4-space introduced by C. Moore. We study two types of such surfaces (with timelike and spacelike meridian curve, respectively) and describe analytically some of their basic geometric classes: flat timelike general rotational surfaces, timelike general rotational surfaces with flat normal connection, and timelike general rotational surfaces with non-zero constant mean curvature. We give explicitly all minimal timelike general rotational surfaces and all timelike general rotational surfaces with parallel normalized mean curvature vector field.
DOI : 10.2298/FIL2325505B
Classification : 53B30, 53A35, 53B25
Keywords: General rotational surfaces, Minimal surfaces, Flat surfaces, Flat normal connection, Constant mean curvature, Parallel normalized mean curvature vector field 
Victoria Bencheva; Velichka Milousheva. Basic classes of timelike general rotational surfaces in the four-dimensional Minkowski space. Filomat, Tome 37 (2023) no. 25, p. 8505 . doi: 10.2298/FIL2325505B
@article{10_2298_FIL2325505B,
     author = {Victoria Bencheva and Velichka Milousheva},
     title = {Basic classes of timelike general rotational surfaces in the four-dimensional {Minkowski} space},
     journal = {Filomat},
     pages = {8505 },
     year = {2023},
     volume = {37},
     number = {25},
     doi = {10.2298/FIL2325505B},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.2298/FIL2325505B/}
}
TY  - JOUR
AU  - Victoria Bencheva
AU  - Velichka Milousheva
TI  - Basic classes of timelike general rotational surfaces in the four-dimensional Minkowski space
JO  - Filomat
PY  - 2023
SP  - 8505 
VL  - 37
IS  - 25
UR  - http://geodesic.mathdoc.fr/articles/10.2298/FIL2325505B/
DO  - 10.2298/FIL2325505B
LA  - en
ID  - 10_2298_FIL2325505B
ER  - 
%0 Journal Article
%A Victoria Bencheva
%A Velichka Milousheva
%T Basic classes of timelike general rotational surfaces in the four-dimensional Minkowski space
%J Filomat
%D 2023
%P 8505 
%V 37
%N 25
%U http://geodesic.mathdoc.fr/articles/10.2298/FIL2325505B/
%R 10.2298/FIL2325505B
%G en
%F 10_2298_FIL2325505B

Cité par Sources :