This is the 7720th most frequent Russian word.
зимнего
"Зимнего" means "winter's" or "of winter" in English.
In this sentence, 'зимнего' is the genitive singular form of the adjective 'зимний', agreeing with 'утра' (morning) in gender (neuter) and case (genitive). It describes characteristics related to 'winter'.
Я наслаждаюсь красотой зимнего утра.
I enjoy the beauty of a winter morning.
Here, 'зимнего' again serves as the genitive singular form of 'зимний', matching 'пейзажа' (landscape) in gender (masculine) and case (genitive). It conveys a possessive or descriptive relationship.
Цвет зимнего пейзажа удивителен.
The color of the winter landscape is amazing.
In this instance, 'зимнего' modifies 'солнца' (sun), and as a modifier, it is also in the genitive singular, reflecting the descriptive relationship to 'winter'.